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?

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.