The final cost of a sale item is determined by multiplying the price on the tag by 75%. Which best describes the function that represents the situation?

Question

a It is linear because the ratio of the change in the final cost compared to the rate of change in the price tag is constant.

b It is linear because the function is continuous.
c It is nonlinear because the final cost is determined by multiplying each price tag by 0.75.
d It is nonlinear because the price tag and final cost columns do not have the same common difference.

Answer 1

A. is correct: sales price = 0.75 x original price

S=3P/4

B is wrong because nonlinear functions can also be continuous

C is wrong although it has a correct last clause on the final cost

D is wrong, entirely. a common difference isn't necessary