Determine the rate of change in the following description. In Ms. Katy’s math class, a homework assignment is worth 100 points. If students turn the homework in late, there will be a deduction of 5 points per day. (1 point)

Question

Responses

m=100
𝑚
=
100
m equals 100

m=−100
𝑚
=
−
100
m equals negative 100

m=5
𝑚
=
5
m equals 5

m=−5

Answer 1

The situation describes a homework assignment worth 100 points, with a deduction of 5 points for each day the homework is turned in late. The rate of change in this context refers to the amount deducted per day for late submissions.

Since the deduction is 5 points for each day late, the rate of change can be represented as:

\[ m = -5 \]

This indicates a decrease in points (hence the negative sign) for each day the homework is submitted late.

Therefore, the correct response is:

m = −5.