Question

Rowan wants to justify that f(x) 3x-7 is a linear function. If she evaluates f(x) for consecutive integer values, which statement justices the claim that f is a linear function?

a. there is a common difference of -7 for f(x) when x increase by 1
b. there is a common factor of -7 for f(x) when x increase by 1
c. there is a common different of 3 for f(x) when x increase by 1
d. there is a common factor of 3 for f(x) when x increase by 1

Answer 1

f(x) = 3x - 7

Let's think, whenever we add 1 to x it i'll increase 3 in the result

f(0) = 3.0 - 7 = 0 - 7 = -7

f(1) = 3.1 - 7 = 3 - 7 = -4

f(2) = 3.2 - 7 = 6 - 7 = -1

So we can know that there's a common difference of 3 for f(x) when x increase by 1.

Answer 2

C. there is a common difference of 3 for f(x) when x increases by 1

Explanation:

As 3 is the slope of this function, there will be a common difference of 3 when x increases by 1.