Question

Imagine you put $.50 in a piggy bank on July 1, $1.00 on July 2, $1.50 on July 3, and so on. Use n to represent the date. Write a function rule for the amount you put in for any date in July.

Answer 1

Let n represent the date and f(n) represent the money on a specific day.

We see that the pattern is every day, we add $0.50 into our little piggy bank.
So on day 1, we get $0.50 and on day 2, we get $1.00. We can see it is a linear function and since in is increasing by $0.50, our slope m is $0.50.

So we get:
f(n) = 0.5n

Let's test this. On day 3 we get:

f(3) = 0.5(3) = 1.50

So it works! So our answer is:

f(n) = 0.5n
Hopes this helps!