Question

A shoe store offers a frequent-buyers card. Each transaction is worth 10 points, and customersautomatically earn 24 points when they sign up.Enter the function rule for the transaction function, where p represents the number of transactions.

Answer 1

We are asked to find a linear function that models the number of points as a function of the number of transactions. We are given that there is a rate of 10 points per transaction and that the initial number of points is 24. This means that if we multiply the rate of points per transaction by the number of transactions and add that to the initial points we will get the number of total points. This can be represented mathematically as:

$N(p)=10p+24$

This is the equation of a line whose slope is 10 and y-intercept is 24.