Question

Jermaine promised to donate a total of z dollars to a charity by donating x dollars immediately and then donating a fixed constant amount of dollars each month for m months. Which of the following expressions represents the fixed constant amount of dollars Jermaine promised to donate each month?

1) z-xm
2) z-mx
3) zx-m
4) z-xm
5) zm-x

Answer 1

To find the fixed monthly donation, subtract the immediate donation x from the total promised z and divide by the number of months m. The fixed monthly donation Jermaine promised to donate is given by the formula (z - x) / m.

Step-by-step explanation:

Jermaine promised to donate a total of z dollars to a charity. He donates x dollars immediately and the rest in equal monthly donations over m months. To determine the monthly donation after the initial immediate donation, we subtract the immediate donation from the total promised donation and then divide the result by the number of months.

The expression for the fixed monthly donation is:

(Total Donation - Initial Donation) / Number of Months = (z - x) / m

This is not explicitly one of the provided options, but by rearranging terms and understanding the context, we can see that the fixed monthly donation is (z - x) / m, which simplifies to z/m - x. Thus, the correct expression resembles option 2, with a slight correction to account for the division over m months, which gives us the formula for the fixed monthly donation Jermaine promised to donate.