Lesson 3: Practice Problems

Problem 1

Noah is running a portion of a marathon at a constant speed of 6 miles per hour.

Complete the table to predict how long it would take him to run different distances at that speed, and how far he would run in different time intervals

time in hours	miles traveled at 6 miles per hour
$1$
$\frac{1}{2}$
$1 \frac{1}{3}$
	$1 \frac{1}{2}$
	$9$
	$4 \frac{1}{2}$

Problem 2

One kilometer is 1,000 meters.

Complete the tables. What is the interpretation of the constant of proportionality in each case?
meters
kilometers
$1, 000$
$1$
$250$
$12$
$1$
The constant of proportionality tells us that:
kilometers
meters
$1$
$1, 000$
$5$
$20$
$0.3$
The constant of proportionality tells us that:
What is the relationship between the two constants of proportionality?

meters	kilometers
$1, 000$	$1$
$250$
$12$
$1$

kilometers	meters
$1$	$1, 000$
$5$
$20$
$0.3$

Problem 3

Jada and Lin are comparing inches and feet. Jada says that the constant of proportionality is 12. Lin says it is $\frac{1}{12}$ . Do you agree with either of them? Explain your reasoning.

Problem 4 From Unit 1 Lesson 12

The area of the Mojave desert is 25,000 square miles. A scale drawing of the Mojave desert has an area of 10 square inches. What is the scale of the map?

Problem 5 From Unit 1 Lesson 11

Which of these scales is equivalent to the scale 1 cm to 5 km? Select all that apply.

3 cm to 15 km
1 mm to 150 km
5 cm to 1 km
5 mm to 2.5 km
1 mm to 500 m

Problem 6 From Unit 2 Lesson 1

Which one of these pictures is not like the others? Explain what makes it different using ratios.

Three ovals labeled L, M and N on a coordinate grid. Each oval has a smaller oval inside. At its widest point, each oval has the following dimesions: Oval L, outside oval width 5 units, outside oval thickness 1 unit, inside oval width 3 units, height 4 units. Oval M, outside oval width 10 units, outside oval thickness, 3, inside oval width 4 units, height 8 units. Oval N, outside oval width 15 units, outside oval thickness 3, inside oval width 9 units, height 12 units.