Question

Let y be a person's salary (in thousands of dollars) after she has worked x year
at a company. Assume that the equation y = 3x + 22 describes the relationship
between x and y.
a. Complete the table.
Time at Company
Salary
(years) (thousands of dollars)
у
X
0
1
2
3
4
b. By how much does her salary increase each year? Compare your result with
the slope of the graph of y = 3x + 22.

Answer 1

Given equation is

$y=3x+22$

a)

Substitute x=0 in the given equation, we get

$y=3(0)+22=0+22=22$

We get y=22.

The point is (0,22).

Substitute x=1 in the given equation, we get

$y=3(1)+22=3+22=25$

We get y=25.

The point is (1, 25).

Substitute x=2 in the given equation, we get

$y=3(2)+22=6+22=28$

We get y=28.

The point is (2, 28).

Substitute x=3 in the given equation, we get

$y=3(3)+22=9+22=31$

We get y=31.

The point is (3, 31).

Substitute x=4 in the given equation, we get

$y=3(4)+22=12+22=34$

We get y=34.

The point is (4, 34).

Hence the table is