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Laabri

Rates and Ratios

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Last updated 2 months ago
5 Nsɛmmisa

Practice using ratios, rates, tables, and double number lines to solve real-world problems. Show your thinking where asked.

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1.

Use the double number line to find the unit rate.

Double number line labeled Apples and Dollars showing 2 apples costs 3 dollars, up to 10 apples costs 15 dollars.

$ apple?

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2.

Use the double number line.

Double number line labeled Time in minutes and Distance in miles showing 10 minutes for 3 miles up to 60 minutes for 18 miles.

A cyclist rides at this constant rate.

  1. How far will the cyclist ride in $45$ minutes?

  2. How long will it take to ride $24$ miles?

Explain how you used the number line (or an equivalent ratio) to find both answers.

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3.

A paint mixture uses a ratio of $3$ cups of blue paint for every $5$ cups of white paint.

Which pairs are equivalent to the ratio $3:5$? Select all that apply.

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4.

A car travels $180$ miles in $3$ hours at a constant rate. What is the unit rate in miles per hour?

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5.

A school is ordering sports drinks for a field day. The ratio of bottles of water to bottles of sports drink is $5:2$.

If the school has $80$ bottles of water, how many bottles of sports drink should they have to keep the ratio the same? Show your reasoning using equivalent ratios or a table.