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.

Question

options:

m=−100
m equals negative 100

m=−5
m equals negative 5

m=5
m equals 5

m=100

Answer 1

In the description provided, the rate of change refers to how much the homework score decreases for each day it is late. Since the point deduction for turning in the homework late is 5 points per day, the rate of change is negative.

Therefore, the correct option is: m = −5 (m equals negative 5).

Answer 2

Use the table to answer the question.

x: 2.6, 3.2

Y: -6, 3

Answer 3

To analyze the data provided in the table, we need to compute the rate of change (slope) between the two points given:

• The first point is \( (2.6, -6) \)
• The second point is \( (3.2, 3) \)

The formula for the rate of change (slope) \( m \) is:

\[ m = \frac{y_2 - y_1}{x_2 - x_1} \]

Here, \( (x_1, y_1) = (2.6, -6) \) and \( (x_2, y_2) = (3.2, 3) \).

Substituting the values into the formula:

\[ m = \frac{3 - (-6)}{3.2 - 2.6} \]

\[ m = \frac{3 + 6}{3.2 - 2.6} \]

\[ m = \frac{9}{0.6} \]

Now, dividing:

\[ m = 15 \]

Thus, the rate of change (slope) between the points in the table is \( m = 15 \).

Answer 4

I forgot to add the question but you ended up answering it correctly wow :)

Answer 5

Thank you! I'm glad to hear that the response was helpful. If you have any more questions or need further assistance, feel free to ask!