Question

Jack works after school. Each day he is paid a set amount, plus an hourly wage. Look at the table. Choose the linear function f Jack can use to
find his pay.
Hours
1
1.5
2
2.5
3
Pay
18
23
28
33
38
A. f(x) = 10x + 8
B. f(x) = 15x + 3
O
C. f(x) = 0.5x + 1
D. f(x) = x + 18

Answer 1

Answer:

A. $f(x) = 10x + 8$

Step-by-step explanation:

The equation in slope-intercept form, $f(x) = mx + b$, can be created to be used in finding Jack's pay. We need to find the slope (m) and the y-intercept (b) of the linear function.

Using two points (1, 18), and (1.5, 23), find the slope (m):

Slope (m) = $\frac{y_2 - y_1}{x_2 - x_1} = \frac{23 - 18}{1.5 - 1} = \frac{5}{0.5} = 10$

Find b, by substituting x = 1, f(x) = 18, and m = 10 into $f(x) = mx + b$.

$18 = (10)(1) + b$

$18 = 10 + b$

Subtract 10 from each side

$18 - 10 = b$

$8 = b$

$b = 8$

Substitute m = 10 and b = 8 into $f(x) = mx + b$.

✅Thus, the linear function that can be used to find Jack's pay would be:

$f(x) = 10x + 8$