Question

mike has some money in his account. every month, he uses the same amount of money from his account to pay for his aerobics classes. the table below shows the amount of money left in his account after a certain amount of time, in months.
mikes savings
month (x) | amount (dollars) (y)
0 | 280
1 | 230
2 | 180
3 | 130
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)
$50 per month; the initial amount of money in the account
-$50 per month; the amount of money withdrawn per month
-$280 per month; the amount of money withdrawn per month
$280 per month; the initial amount of money in the account

Explanation:

Step1: Calculate rate of change

$\text{Rate of change} = \frac{y_2 - y_1}{x_2 - x_1} = \frac{230 - 280}{1 - 0} = -50$

Step2: Interpret the rate

A negative rate means money is withdrawn monthly.

Step3: Match to options

The rate is -$50 per month, representing monthly withdrawals.

Answer:

• $50 per month; the amount of money withdrawn per month