Question

You got a job selling books at the mall. You are paid $70 per day plus $2 for each book you sell. Which recursive formula models this situation?

Answer 1

a1 = 70

an = an–1 + 2

Explanation:

Answer 2

f(x) = 70 + 2x

Explanation:

In this problem, we first need to consider how much we get per day.

$70 is our constant.

$2 will be dependent on the number of books sold.

Here 'x' will represent the number of books sold.

f(x) = 70 + 2x

Now let's try it out.

Let's say we sold 0 books

f(0) = 70 + 2(0) = 70

This shows us that we only get our constant pay.

Now let's try for 1 or more books.

f(1) = 70 + 2(1) = 72

f(2) = 70 + 2(2) = 74

So the recursive formula f(x) = 70 + 2x is a good formula to model the situation.