Question

Bradley is returning home from a place that is 2 kilometers away. The function y = 2,000 − 90x represents Bradley's distance from home in meters, y, in relation to the number of minutes he walks, x. Which statements about this function are true?

Answer 1

These are the statements that accompany this question:

A.The function is a linear function.

B.The function is a nonlinear function.

C.The function does not change at a constant rate.

D.The function is an increasing function.

E.The function changes at a constant rate.

An this is the assesment of each of statement:


A.The function is a linear function.

TRUE: a linear function can take the forms  Ax + By - C = 0, or y = mb + b

You can verify that y = 2000 - 90 x is of this type.

B.The function is a nonlinear function.

FALSE: we showed the opposite in A)

C.The function does not change at a constant rate.

FALSE: the rate of change of a linear function is constant and it is known as the slope.

D.The function is an increasing function.

FALSE: the value of y decreases as x increases, given that the slope is negative ( -90).

E.The function changes at a constant rate.

TRUE: the constant rate is the slope, i.e. - 90.