The table below shows the average annual salary of the workers at the Pearson
Corporation over the course of time since 1980. Let x represent the number of years
since 1980 with x = 0
representing the year 1980. Let y represent the average annual
salary of the workers. Complete the slope-intercept form of the equation for the line of
best fit below with the appropriate value for the slope.

Answer:

[tex]y = 1164x + 14242[/tex]

Step-by-step explanation:

From the question, we understand that

x = 0, when year = 1980

First, we need to determine the slope of the table.

Pick any two corresponding values of year and average salary

year = 1982, average salary = 16570

year = 2002, average salary = 39850

Convert years to x values

year = 1982 implies that x = 2 i.e. 1982 - 1980

year = 2002 implies that x = 22 i.e. 2002 - 198-

So, we have:

[tex](x_1,y_1) = (2,16570)[/tex]

[tex](x_2,y_2) = (22,39850)[/tex]

Determine the slope.

[tex]m = \frac{y_2 - y_1}{x_2 - x_1}[/tex]

[tex]m = \frac{39850 -16570}{22 - 2}[/tex]

[tex]m = \frac{23280}{20}[/tex]

[tex]m = 1164[/tex]

The equation is calculated using:

[tex]y - y_1 = m(x - x_1)[/tex]

Where

[tex]m = 1164[/tex]

[tex](x_1,y_1) = (2,16570)[/tex]

So,

[tex]y - y_1 = m(x - x_1)[/tex]

[tex]y - 16570 = 1164(x - 2)[/tex]

[tex]y - 16570 = 1164x - 1164*2[/tex]

[tex]y - 16570 = 1164x - 2328[/tex]

Add 16570 to both sides

[tex]y - 16570 + 16570 = 1164x - 2328 + 16570[/tex]

[tex]y = 1164x - 2328 + 16570[/tex]

[tex]y = 1164x + 14242[/tex]

Answer:

y = 1164x + 14,242

Step-by-step explanation:

Write a recursive sequence for the following:
27, 33.5, 40, 46.5

How do I find the missing sides in this triangle?

Amy earned $25 after babysitting for 3 hours. If she always charges the same rate, how much will she make after working for 7 hours?

Will sells 35 L of milk in a day how many liters of milk will be sold if he has
to sell 125% more milk per day

Marie works for the electric company. She earns $10 per hour working 40 hours a week.
She gets 1.5 times her pay in overtime for any hours worked over 40 hours. If she
worked 50 hours in a week, how much would Marie make?
0 $400
$1,000
$550
$500

discriminate of 2x2 – 9x + 2 = –1

The total coast of a ski trip is $315 with a literal equation of 315=85x+60 how many ski trips can you take

WILL MARK BRAINLIEST PLEASE HELP

Given f(c)=6(1-x)what is the value of f(-8)

Find h(x) + h (x+2), giving-
your is single fraction
answer as fraction

is -|42| positive bc like all absolute value is positive or like negative bc like the negative sign is outside of the absolute value bars

(x-3)2 = 4x
Which of the following is a value of x that satisfies the equation above?

A grocery store sells a bag of 6 oranges for $3.90. What is the unit cost?
Pls Answer and I shall give u a- Thank You - Vielen Dank

y=1/4 x y=4x-5 parallel perpendicular neither

What is the length of segment TQ?

$64 for four video games
What is the ratio and unit rate

PLEASE HELP DUE SOON!!!
Jordan is mowing lawns to save money for the Camp Rodeo Field Trip. The total cost for the excursions, travel, and food will be $130. Jordan has already saved $50. Which of the following equations represents how much more money Jordan needs to save in order to go on the field trip?

A. x + 50 = 130

B. x - 50 = 130

C. x - 130 = 50

D. x = 50 + 130

Bob baked 175 brownies to give seven of his friends if he splits the brownies evenly and keeps none for himself how many brownies will each friend get

Mr. Moore has 5 1/4 pounds of dry fish food. He will be putting an equal amount of food into 3 containers. How much fish food will be in each container?

4. Ian and his friends are renting a cabin
charges an initial fee plus a rate per night. The
relationship between the cost and the number of
nights is shown in the graph.

the ratio of two supplementary angles is 3:6. what is the measure of the smaller angle?

10, 20, 30, or 60?

There are 30 students Ms. Washington’s class. Sixteen of the students are in band. What percent of Ms. Washington’s class is in band?

i need help please
its pretty urgent

Harrison has 70 CDs in his music collection.
If 30% of the CDs are country music and 50% are pop music, how many CDs are other types of music?
There are
CDs that are other types of music.

Which could be the first step in solving the equation represented by the model below?

A. Add 4 negative unit tiles to both sides.
B. Add 4 negative unit tiles to the left side, and add 6 negative unit tiles to the right side.
C. Add 4 positive unit tiles to both sides.
D. Add 6 negative unit tiles to the left side, and add 4 negative unit tiles to the right side.

HELP PLS! After u find the length of P explain the reasoning you used and I’ll give u brainliest!!

Naomi can run 12 miles in 108 minutes. She is thinking about running in two different races, a 9-mile race and a 13-mile race. At her current rate, how many more minutes will it take her to complete the 13-mile race than the 9-mile race?

$______
PLEASE HELP I"LL GIVE BRAINLEST DUE AT 11:59

What is the sum of:
-11.5 (3.2) =
Please answer

Hayley is filling a tank with water. She measures the depth, in inches, of the water in the tank at the end of each hour for 8 hours. Hayley writes the equation y = 10x + 6 to describe the depth of the water in the tank (y) at the end of each hour (x). Which graph shows the depth of the water in the tank at the end of each hour?

Use the scatter plot to fill in the missing coordinate of the ordered pair?​