# Lesson 3

Revisiting Proportional Relationships

### Problem 1

It takes an ant farm 3 days to consume $$\frac12$$ of an apple. At that rate, in how many days will the ant farm consume 3 apples?

### Solution

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### Problem 2

To make a shade of paint called jasper green, mix 4 quarts of green paint with $$\frac23$$ cups of black paint. How much green paint should be mixed with 4 cups of black paint to make jasper green?

### Solution

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### Problem 3

An airplane is flying from New York City to Los Angeles. The distance it travels in miles, $$d$$, is related to the time in seconds, $$t$$, by the equation $$d=0.15t$$

1. How fast is it flying? Be sure to include the units.
2. How far will it travel in 30 seconds?
3. How long will it take to go 12.75 miles?

### Solution

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### Problem 4

A grocer can buy strawberries for $1.38 per pound. 1. Write an equation relating $$c$$, the cost, and $$p$$, the pounds of strawberries. 2. A strawberry order cost$241.50. How many pounds did the grocer order?

### Solution

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### Problem 5

Crater Lake in Oregon is shaped like a circle with a diameter of about 5.5 miles.

1. How far is it around the perimeter of Crater Lake?

2. What is the area of the surface of Crater Lake?

### Solution

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(From Unit 3, Lesson 10.)

### Problem 6

A 50-centimeter piece of wire is bent into a circle. What is the area of this circle?

### Solution

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(From Unit 3, Lesson 8.)

### Problem 7

Suppose Quadrilaterals A and B are both squares. Are A and B necessarily scaled copies of one another? Explain.

### Solution

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(From Unit 1, Lesson 2.)