Question

Two functions are represented in different formats.

Function 1: y = 32x + 45
Function 2:
x:0 1 2 3 y:65 85 105 125
Which statements are true? Select each correct answer.
A.)Function 1 has a greater rate of change than function
B.) Function 2 has a greater rate of change than function
C.) Function 1 has a greater y-intercept than function
D.) Function 2 has a greater y-intercept than function 1.

Answer 1

first let as solve the equation of the function 2:
solve the slope of the function
m = (y1 - y2) / (x1 - x2)
m = (65 - 85) / (0 - 1)
m = 20

then solve for the y intercept using one point ( 0, 65)
y = mx + b
65 = (20)0 + b
b = 65
so the equation is
y = 20x + 65

so the correct answer is Function 1 has a greater rate of change than function. function 1 has 32 rate of change while function 2 is 20