Question

Two functions are represented in different formats.

Function 1:

Hours (x) : 0, 1, 2, 3

Total cost (y) : 45, 75, 105, 135

Function 2: A contractor charges a flat rate of $50 and adds $40 for each hour worked.

Which statements are true?
Select EACH correct answer.


A) Function 1 has a greater rate of change than function 2.

B) Function 2 has a greater rate of change than function 1.

C) Function 1 has a greater y-intercept than function 2.

D) Function 2 has a greater y-intercept than function 1.

Answer 1

B. AND D.

Explanation:

I TOOK THE TEST K.12 :)

Answer 2

Function 1:
(0,45)(1,75)
slope (rate of change) = (75 - 45) / (1 - 0) = 30

y = mx + b
slope(m) = 30
(0,45)...x = 0 and y = 45
now we sub and find b, the y int
45 = 30(0) + b
45 = b
so ur equation is y = 30x + 45....slope (rate of change) = 30...y int = 45



Function 2 :
y = 40x + 50.....slope(rate of change) = 40...y int = 50

Function 2 has a greater rate of change then Function 1 --- True
Function 2 has a greater y int then Function 1 --- True