# Lesson 8

Representing Ratios with Tables

Let’s use tables to represent equivalent ratios.

### Problem 1

Complete the table to show the amounts of yellow and red paint needed for different-sized batches of the same shade of orange paint.

yellow paint (quarts) | red paint (quarts) |
---|---|

5 | 6 |

Explain how you know that these amounts of yellow paint and red paint will make the same shade of orange as the mixture in the first row of the table.

### Problem 2

A car travels at a constant speed, as shown on the double number line.

How far does the car travel in 14 hours? Explain or show your reasoning.

### Problem 3

The olive trees in an orchard produce 3,000 pounds of olives a year. It takes 20 pounds of olives to make 3 liters of olive oil. How many liters of olive oil can this orchard produce in a year? If you get stuck, consider using the table.

olives (pounds) | olive oil (liters) |
---|---|

20 | 3 |

100 | |

3,000 |

### Problem 4

At a school recess, there needs to be a ratio of 2 adults for every 24 children on the playground. The double number line represents the number of adults and children on the playground at recess.

- Label each remaining tick mark with its value.
- How many adults are needed if there are 72 children? Circle your answer on the double number line.

### Problem 5

While playing basketball, Jada’s heart rate goes up to 160 beats per minute. While jogging, her heart beats 25 times in 10 seconds. Assuming her heart beats at a constant rate while jogging, which of these activities resulted in a higher heart rate? Explain your reasoning.

### Problem 6

A shopper bought the following items at the farmer’s market:

- 6 ears of corn for $1.80. What was the cost per ear?
- 12 apples for $2.88. What was the cost per apple?
- 5 tomatoes for $3.10. What was the cost per tomato?