3.1 LESSON Slope and Rate of Change

​3.1 Slope and Rate of Change

By Cassie Stallings

Categorize

Options (4)

Organize these graphs into the right categories based on their SLOPEs.

Positive

Negative

Zero

No Slope

Math Response

Find the slope of the graph by comparing the ratio of the rise over the run. Reduce fractions.

Type answer here

Correct Answer: \frac{2}{3}

Deg^°

Rad

Math Response

Find the slope of the graph by comparing the ratio of the rise over the run. Reduce fractions.

Type answer here

Correct Answer: -\frac{1}{2}

Deg^°

Rad

Multiple Choice

Find the slope of the graph.

• All real numbers

• Undefined

• Zero

• Infinitely many

Dropdown

The rise in weight from the first point to the second point is ​

Select answer

lbs. The run from the first point to the second point is ​

Select answer

boxes.

Math Response

Clark loads boxes of paper on a pallet before shipping them. The graph shows the linear relationship between the number of boxes of copy paper and the weight of the pallet. Find the rate of change of the pallet weight with respect to the number of boxes.

Type answer here

Correct Answer: 5

Deg^°

Rad

Math Response

Lainey set up a lemonade stand. The graph below shows the amount of money in her cash register with respect to the number of customers Lainey has served. Find the rate of change.

Type answer here

Correct Answer: \frac{3}{4}

Deg^°

Rad

Math Response

A cold front hit Milwaukee, Wisconsin and the graph shows the outside temperature with respect to the time passed in hours. Find the rate of change of the temperature over time.

Type answer here

Correct Answer: -\frac{10}{3}

Deg^°

Rad

Math Response

Jacob hopes to read at least 4 pages every 5 minutes in his sci-fi book. The graph shows the rate at which he reads.

What is the rate at which he reads?

Type answer here

Correct Answer: \frac{3}{5}

Deg^°

Rad

Multiple Choice

Jacob hopes to read at least 4 pages every 5 minutes in his sci-fi book. The graph shows the rate at which he reads.

Did Jacob meet his goal? Explain.

• Yes, he reads 5 pages every 3 minutes.

• No, he reads 3 pages every 5 minutes.

• Yes, he reads 3/5 of a page every minute, which would be 15 pages in 5 minutes.

Categorize

Options (10)

$$\frac{11}{3}$$  

$$\frac{9}{2}$$  

$$-7$$  

Line C

Line B

Line A

$$\frac{3}{11}$$  

$$\frac{2}{9}$$  

$$7$$  

$$-\frac{1}{7}$$  

Organize these options into the right situations

Saving $11 every 3 weeks

Saving $9 every 2 weeks

Spending $7 every week

None