Question

The expression -50x + 100 represents the balance, in dollars, of the bank account after x months.

What is the rate of change in dollars per month, of the bank account balance?

Answer 1

`-50`

Explanation:

In the
`1\text{st}` month the balance will be
`-50(1) +100` which is
`50`. In the
`2\text{nd}` month, the balance will be
`-50(2) +100` which is
`0`. In the
`3\text{rd}` month, the balance will be
`-50(3) +100` which is
`-50`.

We can see that for every increase of
`1` month, the balance of the bank account will decrease by
`50`.

Answer 2

The rate of change is -50 based on the information given.

You would have to substitute the amount of months into the equation for x to properly determine the average rate of change, which is not posted in this question.