Homework (HW): Module 4 Lesson 7 Problem Set

8•4 HW Lesson 7

HW.7

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1. Eman walks from the store to her friend’s house, 2 miles away. It takes her 35 minutes.

a. What fraction represents her constant speed, 𝐶?

b. Write the fraction that represents her constant speed, 𝐶, if she walks 𝑦 miles in 10 minutes.

c. Write and solve a proportion using the fractions from parts (a) and (b) to determine how many miles she walks after 10 minutes. Round your answer to the hundredths place.

d. Write a two-variable equation to represent how many miles Eman can walk over any time interval.

2. Darla drives at a constant speed of 45 miles per hour. a. If she drives for 𝑦 miles and it takes her 𝑥 hours, write the two-variable equation to represent the number of

miles Darla can drive in 𝑥 hours.

b. Darla plans to drive to the market 14 miles from her house, then to the post office 3 miles from the market, and then return home, which is 15 miles from the post office. Assuming she drives at a constant speed the entire time, how long will it take her to run her errands and get back home? Round your answer to the hundredths place.

3. Aaron walks from his sister’s house to his cousin’s house, a distance of 4 miles, in 80 minutes. How far does he walk in 30 minutes?

4. A train travels at a constant rate of 45 miles per hour.

a. What is the distance, 𝑑, in miles, that the train travels in 𝑡 hours?

b. How many miles will it travel in 2.5 hours?

Name _______________________________________ Date Due: __________ Period: _____

Homework (HW): Module 4 Lesson 7 Problem Set

8•4 HW Lesson 7

HW.7

This work is licensed under a Creative Commons Attribution-NonCommercial-ShareAlike 3.0 Unported License.

5. Water is leaking from a faucet at a constant rate of 1

3 gallon per minute.

a. What is the amount of water, 𝑤, in gallons per minute, that is leaked from the faucet after 𝑡 minutes?

b. How much water is leaked after an hour?

6. A copy machine makes copies at a constant rate. The machine can make 80 copies in 212

minutes.

a. Write an equation to represent the number of copies, 𝑛, that can be made over any time interval in minutes, 𝑡.

b. Complete the table below.

𝒕 (time in minutes) Linear Equation:

𝒏 (number of copies)

0

0.25

0.5

0.75

1

c. Graph the data on a coordinate plane.

d. The copy machine runs for 20 seconds and then jams. About how many copies were made before the jam occurred? Explain.