Question

A health club charges new members an initiation fee of $175 and a monthly fee of $55. Which linear model represents the total amount a member has paid, p, as a function of t, the time, in months, of membership?

Answer 1

p(t)=55t+175

Explanation:

Answer 2

The linear model can be expressed as;

p=175+55t

Explanation:

This can be expressed as;

Total amount a member has paid=Initiation fee+Total amount per month

where;

Total amount a member has paid=p

Initiation fee=$175

Total amount per month=monthly fee×number of months(t)=(55×t)=55t

Replacing;

p=175+55t

The linear model can be expressed as;

p=175+55t