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?
Accepted Solution
A:
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).