Question

Your friend asks you to make picture frames and will give you 5 nickels for the first frame. You agree to help if she multiplies your payment by 5 for each frame completed. After 2 frames, you will receive 25 nickels, and after 3 frames, you will receive 125 nickels. Complete and solve the equation that finds the number of nickels she will pay you after making the tenth frame.

Answer 1

The equation that represents the number of nickels she will pay you after making the tenth frame is:

5 * 5^(n-1)

Where n is the number of frames completed.

Plugging in n = 10 into the equation:

5 * 5^(10-1) = 5 * 5^9 = 5 * 1953125 = 9,765,625

Therefore, she will pay you 9,765,625 nickels after making the tenth frame.