Sania has some money in her account. Every month, she uses the same amount of money from her account to pay for her dance classes. The table below shows the amount of money left in her account after a certain amount of time, in months:

Sania's Savings
Month (x) Amount (dollars) (y)
0
150
1
110
2
70
3
30
What is the value of the rate of change of the function for this table and what does it represent in this situation? (5 points)

A: −$40 per month; the amount of money withdrawn per month

B: $40 per month; the initial amount of money in the account

C: −$150 per month; the amount of money withdrawn per month

D: $150 per month; the initial amount of money in the account

1 answer

A: −$40 per month; the amount of money withdrawn per month

The rate of change of the function is calculated by finding the difference in the amount of money left in the account between consecutive months. In this case, the amount left decreases by $40 each month, which represents the amount of money Sania is withdrawing every month for her dance classes.
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