Answer:
A. [tex] f(x) = 10x + 8 [/tex]
Step-by-step explanation:
The equation in slope-intercept form, [tex] f(x) = mx + b [/tex], 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) = [tex] \frac{y_2 - y_1}{x_2 - x_1} = \frac{23 - 18}{1.5 - 1} = \frac{5}{0.5} = 10 [/tex]
Find b, by substituting x = 1, f(x) = 18, and m = 10 into [tex] f(x) = mx + b [/tex].
[tex] 18 = (10)(1) + b [/tex]
[tex] 18 = 10 + b [/tex]
Subtract 10 from each side
[tex] 18 - 10 = b [/tex]
[tex] 8 = b [/tex]
[tex] b = 8 [/tex]
Substitute m = 10 and b = 8 into [tex] f(x) = mx + b [/tex].
✅Thus, the linear function that can be used to find Jack's pay would be:
[tex] f(x) = 10x + 8 [/tex]
