Question

Which kind of function best models the data? Use differences or ratios. X y 0 0 1 −0.5 2 −2 3 −4.5 4 −8 A. Exponential B. Quadratic function C. Linear function

Answer 1

C. Linear function

Explanation:

A function is said to be linear when the rate of increase is defined to be straight. The function increase sequentially and not exponentially.

From the table, we have;

X 0 1 2 3 4

Y 0 -0.5 -2 -4.5 -8

The rate of change of value in y is increasing linearly.

It increase by -0.5 when x is 1

It increase by -1.5 when x is 2

It increase by -2.5 when x is 3

It increase by -3.5 when x is 4