The graph of a proportional relationship is shown. What is the
amount of savings per
week?
Money
470
376
A) $94/week
B) $47/week
C) $18.80/week
D) $23.50/week

The Graph Of A Proportional Relationship Is Shown. What Is Theamount Of Savings Perweek?Money470376A)

Answers

Answer 1

Answer:  B) $47/week

===========================================================

Explanation:

Because the graph goes through the origin, we can simply divide the y value over the x value. Do so for any point on the diagonal line.

For example, picking (x,y) = (2, 94) leads to k = y/x = 94/2 = 47 being the constant of proportionality and also the amount of savings per week.

You can think of it like this:

2 weeks = $94 in savings

2/2 weeks = $94/2 in savings ... divide both sides by 2

1 week = $47 in savings

leading to the savings rate of $47 per week

----------

Side note: This linear equation is y = 47x. It is in the form y = kx with k = 47. It is a direct proportion equation. The constant of proportionality is also the slope. All direct proportion equations are linear and go through the origin.


Related Questions

If x is 5, then 6x=??​

Answers

Answer:

30

Step-by-step explanation:

since x=5, and it's 6x, it'd be the same as 5x6, or 6(5).

Answer:

I think it should equal 30

Step-by-step explanation:

If x is 5 it would be 6(5) so you multiply 6 and 5 which equals 30

(sorry if i'm wrong)

Multiply.

(x−5)(3x+6)

Express the answer in standard form.

Answers

Answer:

[tex]3x^{2} -9x-30[/tex]

Step-by-step explanation:

(x - 5)(3x + 6)

[tex]3x^{2} +6x-15x-30\\3x^{2} -9x-30[/tex]

Answer:

3x² - 9x - 30

General Formulas and Concepts:

Algebra I

Expand by FOIL (First Outside Inside Last)Combining Like Terms

Step-by-step explanation:

Step 1: Define

(x - 5)(3x + 6)

Step 2: Expand

Expand [FOIL]:                    3x² + 6x - 15x - 30Combine like terms:           3x² - 9x - 30

Find the value of x.

A. 20
B. 17
C. 22
D. 15

Answers

Answer:

The value if x is 20

Step-by-step explanation:

Hope this helps :)

The value of the variable x is 20. Then the correct option is A.

What is a circle?

It is the close curve of an equidistant point drawn from the center. The radius of a circle is the distance between the center and the circumference.

If the two chords of the circle intersect at a point, then the product of the segments of the chord will be equal.

We know that the product of (x - 5) & (x - 8) and (x - 5) & (x) will be equal. Then we have

(x - 5) · (x - 8) = (x - 11) · x

Simplify the equation, then the value of the  variable x will be

(x - 5) · (x - 8) = (x - 11) · x

x² - 13x + 40 = x² - 11x

2x = 40

x = 20

Thus, the value of the variable x is 20.

Then the correct option is A.

More about the circle link is given below.

brainly.com/question/11833983

#SPJ5

Jarrod sports card holder can hold 9 cards on each page. How many pages will Jarrod need if he has 75 sport cards?​

Answers

Hello! Lets take a look.

To do this problem you would have to divide.

"75/9"

So what is the answer to that?

8!

The Sanchez family goes to dinner, and the price of the meal was $60. The sales
tax on the meal is 7%, and they also want to leave a 15% tip. What is the total
cost of the meal?

Answers

Answer:

89.7

Step-by-step explanation:

Find the diagonal of the box using the Pythagorean Theorem.

Answers

Answer:640^2

Step-by-step explanation:

The Pythagorean Theorem states that the sum of the squared sides of a right triangle equals the length of the hypotenuse squared. You might recognize this theorem in the form of the Pythagorean equation: a 2 + b 2 = c 2.

8cm^2+24cm^2=640^2

Which of the following is equal to log24

Answers

Answer:

Step-by-step explanation:

Put a picture

how do you find the interior angle in a heptagon

Answers

Answer:

A heptagon has 7 sides, so we take the hexagon's sum of the interior angles and add 180 to it getting us, 720+180= 900 degrees

Step-by-step explanation:

The formula for calculating the sum of the interior angles of a regular polygon is: (n-2) x 180 degrees. N is the number of sides

HELPPP FASTTT PLEASE

Answers

Answer:

(3,-2)

Step-by-step explanation:

I used a graphing calculator to get the solution, attached is what I got with the graphing calculator.

hope this helps.

Simplify the following expression:
3x (7x-4)-(x-8)

Answers

Answer:

=21x2−13x+8

Step-by-step explanation:

=3x(7x−4)+−1(x−8)

=3x(7x−4)+−1x+(−1)(−8)

=3x(7x−4)+−x+8

Distribute:

=(3x)(7x)+(3x)(−4)+−x+8

=21x2+−12x+−x+8

Combine Like Terms:

=21x2+−12x+−x+8

=(21x2)+(−12x+−x)+(8)

=21x2+−13x+8

Answer:

[tex]=21x^{2} -13x+8[/tex]

Step-by-step explanation:

What is the first step in solving the following system of equations?

3 x + y = 23.
8 x + 2 y = 23.

Answers

Answer:

Solve the first equation for y

Step-by-step explanation:

Can someone help me please

Answers

Answer:

B

Step-by-step explanation:

210/3.5=60 60*8.5=510 Add the first fence post to get 518.50

Answer:

B

Step-by-step explanation:

✨Hope it helps✨

17 times 0.0167. Can someone solve this step by step

Answers

Answer:

0.2839

Step-by-step explanation:

Can you tell me what part you are stuck on?

Answer:

0.2839

Step-by-step explanation:

-First, move the decimal over 4 places to the right to make 0.0167 into a whole number, which will turn into 167.

-Now, multiply 17 times 167 to get 2839.

-Finally, since the decimal from 0.0167 was moved 4 places to the right, it needs to be moved back 4 places to the left. Once it was moved back 4 places to the left, the answer should now be 0.2839

Hope this helps! :)

i need help asap please!

Answers

Answer:

option 2 is the best answer

Step-by-step explanation:

I actually couldn't tell you 100% how i got this answer, but i narrowed it down to option 2 and option 3 because those ones have the inequality sign facing the correct way, and then I solved the inequalities to see which one made more sense, and option 3 came out as negative and you can't have a negative cost on something, so option 2 is the best answer.

r=11+8r=29 Please Helpppp me

Answers

What method are you using to solve this problem? Simplify, solve ? I need to know so I can help you out.

can someone help, please! also i'm giving brainliest

Answers

2 = Distributive Property (you are distributing the -5 to the x and the -6)

1 = Given (its the original equation)

3 = Addition Property of Equality (you add 5x to both sides)

4 = Division Property of Equality (you divide both sides by 15)

A lion needs to eat at least 15 pounds of food each day. The zoo feeds the lion using canisters that each contain 3 pounds of food. The lion has already consumed 9 pounds of food. How many more canisters x of food does the lion need to eat? Write your answer as an inequality.

Answers

Answer:

15 lbs total

1 canister - 3 lbs

lion has already consumed 9 pounds, "3 x 3 canisters of food"

15 - 9 = 6

6/3 = 2

the person needs to feed the lion 2 more canister

ANSWER IS 2

Step-by-step explanation:

let's say jennifer's  Job is to make sure each box weighs four KG and is placed on a pallet 2 m away every nine seconds. How much work did Jennifer perform??

Answers

Jennifer job is better than the performs

Pascal reaches -12 meters only 3 seconds after passing 0. At what rate
does he run?

Answers

Answer:

About 30 m/s

Step-by-step explanation:

PLS HELP WILL GIVE BRAINLIEST

ignore the one i marked

Answers

Answer:

im almost postive the one you marked is correct

Step-by-step explanation:

Answer:

The second one

Step-by-step explanation:

When you elevate by 3 you get:

[tex]\sqrt[3]{g}^{3} = g[/tex]

Hope this helps, have a good day

please answer my question

Answers

Answer:

dogs and birds..........

Find the unit rate: 180 miles in 3 hours

Answers

Answer:

60/1 or 60

Step-by-step explanation:

Divide 180 by 3

60

So the unit rate is 60/1

Answer:

60 miles per hour

Step-by-step explanation:

The unit rate is the number of miles traveled per hour.  To solve this divide the total miles traveled by number of hours, 180/3.  The quotient is 60.

Samuel earns $5 per hour plus 65% commission on all his sales. If y represents
his sales for one day, which expression represents Samuel’s total earnings for a
day when he worked 6 hours?
A. 5(6) + 65y
B. 5(65) + 6y
C. 5(6) + 0.65y
D. 5(6) + 1.65y

Show your work please

Answers

Answer:B

Explanation Samuel earn per hour = 5 hrs

Commission = 65%

Samuel total earning for a day = 6 hrs

Now,

5(65)+6y

PLEASE HELP PLS
Which of the following lineat functions have a rate of change that is greater than 14? ​

Answers

Answer

The third table has a gradient of 20, so third table is one of them.

The other one is the last case, For an hour, Fahim earning  $1010 so that is the rate per hour.  

Step-by-step explanation:

The expression x + 0.25x can be used to determine a 25% increase in the number of blog views from last month to this month. What expression shows this another way?

Answers

Answer:

1.25x

Step-by-step explanation:

Given that :

25% Increase in number of blog views can be expressed as (x + 0.25x)

Another way to make this representation is :

Total number of blog views + 25% of total

Total should add up to 100%

Let number of views = x

Hence,

(100% + 25%) of x

125% of x

125%x

= 1.25x

Follow the directions to solve the system of equations by elimination. 8x + 7y = 39 4x – 14y = –68 Multiply the first equation to enable the elimination of the y-term. Add the equations to eliminate the y-terms. Solve the new equation for the x-value. Substitute the x-value back into either original equation to find the y-value. Check the solution. The solution to the system of equations is (, ).

Answers

Answer:

1/2,5

Step-by-step explanation:

Answer:

1/2     5

Step-by-step explanation:

just got it right on edge

Which of these statements correctly compares the graphed function f(x) to the function g(x)= x/2+5

Answers

Answer:

I’m pretty sure it’s B

Step-by-step explanation:

Answer:

C (the rate of change of f(x) is -1/2 and g(x) if 1/2

Step-by-step explanation:

i cant be 100% sure so take this with a grain of salt but if x was 1, f(x)'s rate of change (another word for slope) would be -1/2 whilst g(x)'s slope would be 1/2.

can someone check these and tell me which ones are in the wrong column, thanks

Answers

Answer:

∠2 and ∠5 should not be Alternate exterior angles. ∠2 and ∠11 can be Alternate exterior angles if that is an option. The rest is correct. As for consecutive interior angles, you have (∠3 and ∠9), (∠4 and ∠10), (∠7 and ∠13) and (∠8 and ∠14).

Step-by-step explanation:

Alternate exterior angles are basically like the angles that are the combination of a vertically opposite angle and a corresponding angle. Since the vertical lines are not parallel, ∠2 and ∠5 cannot be Alternate exterior angles.

Consecutive interior angles are any pair of angles that are within a pair of parallel lines and add up to 180°.

50 points! PLEASE HELP WITH THIS! Show how you got the answers!!! WIll mark as brainliest!!! DONT ANSWER IF YOU DONT KNOW IT!!

Answers

Answer:

8. 9.1

9. 12.2

Step-by-step explanation:

8. let x represent the missing side:

Using pythagoras theorem;

13.3² = x² + 9.7²

x² = 13.3² - 9.7²

x² = 82.8 taking the square root of both sides;

x = 9.1

9. let y represent the missing side:

Using pythagoras theorem;

y² = 10² + 7²

y² = 149 taking the square root of both sides;

y = 12.2

All students in the 6th grade either purchased their
lunch or brought their lunch from home on Monday.
• 24% of the students purchased their lunch.
• 190 students brought their lunch from home.
How many students are in the 6th grade?

Answers

Answer:250

Step-by-step explanation:

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