Question

The equation shows the relationship between the amount of money (y) remaining in Leigh's money box and the number of months (X)

Function 2
y = -9x + 60
Which statement explains which function shows a greater rate of change?
O Function 1 shows a greater rate of change, because Morgan spends $10 each month and Leigh spends $9 each month.
O Function 1 shows a greater rate of change, because Morgan spends $10 each month and Leigh spends $60 each month.
O Function 2 shows a greater rate of change, because Morgan spends $10 each month and Leigh spends $60 each month.
O Function 2 shows a greater rate of change, because Morgan spends $50 each month and Leigh spends -$9 each month.

Answer 1

A. The first choice.

Explanation:

Look at function 1.

Month 1 -----> $50

Month 2 ----> $40

The difference between month 2 and moin th 1 is 1 month.

The difference between $40 and $50 is -$10. In other words, in function 1, the amount, y, went down $10 in a month. The rate of change of function 1 is -$10/month.

Function 2

y = -9x + 60

The rate of change is the slope. The slope of function 2 is -9. In function 2, the amount of money changes -$9/per month.

Answer: A. The first choice.