Which situation below would describe a negative Rate of Change over time.

Question

For every text message you send, your bill goes up by $.08. You keep track of your texts in a table to find the total amount of your monthly bill.

Your speed of walking to school is 12 minutes per mile. You walk 2 miles. You graph your distance walked.

You owe your sister $40 and each week you pay her $5. You track your total amount owed in a table.

Answer 1

A negative rate of change indicates that a quantity is decreasing over time.

In the situations described:

1. Text Message Bill: For every text message sent, the bill increases by $0.08. This represents a positive rate of change since the total bill is increasing with more text messages.

2. Walking to School: The speed of walking is given as 12 minutes per mile. This indicates a positive rate of distance covered over time, as you are still walking and accumulating distance.

3. Owing Your Sister Money: You owe your sister $40, and for each week you pay her $5. As you pay her, the total amount you owe decreases. This represents a negative rate of change because the amount owed is decreasing over time.

Thus, the situation that describes a negative rate of change over time is:

You owe your sister $40 and each week you pay her $5. You track your total amount owed in a table.