Question

Shine has some money in his account. Every month, he uses the same amount of money from his account to pay for his music classes. The table below shows the amount of money left in his account after a certain amount of time, in months:

Shine's Savings
Month (x) Amount (dollars) (y)
0
190
1
145
2
100
3
55


What is the value of the rate of change of the function for this table and what does it represent in this situation?
$45 per month; the initial amount of money in the account
−$190 per month; the amount of money withdrawn per month
$190 per month; the initial amount of money in the account
−$45 per month; the amount of money withdrawn per month

Answer 1

-$45 per month; the amount of money withdrawn per month

Answer 2

Answer: −$45 per month; the amount of money withdrawn per month

Explanation:

Given: Shine has some money in his account. Every month, he uses the same amount of money from his account to pay for his music classes.

This implies the function for the table is a linear function.

And the rate of change of linear function
`=(y_2-y_1)/(x_2-x_1)=(145-190)/(2-1)=(-45)/(1)`

Thus, the rate of change for the function for the given table = -45

Hence, the rate of change = −$45 per month; the amount of money withdrawn per month