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IN Mrs. Smith's class, every time you turn in 10 assignments, you get I homework pass Whrite three equivalent ratios of turned in assignments to homework passes.

Ask by Chadwick Beck. in the United States
Dec 02,2024

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Answer

1. 20 assignments to 2 homework passes 2. 30 assignments to 3 homework passes 3. 40 assignments to 4 homework passes

Solution

To find equivalent ratios of turned-in assignments to homework passes, we start with the given ratio of 10 assignments to 1 homework pass. This can be expressed as: \[ \text{Ratio} = \frac{10 \text{ assignments}}{1 \text{ homework pass}} \] To create equivalent ratios, we can multiply both the numerator and the denominator by the same number. Here are three equivalent ratios: 1. Multiply by 2: \[ \frac{10 \times 2}{1 \times 2} = \frac{20 \text{ assignments}}{2 \text{ homework passes}} \] 2. Multiply by 3: \[ \frac{10 \times 3}{1 \times 3} = \frac{30 \text{ assignments}}{3 \text{ homework passes}} \] 3. Multiply by 4: \[ \frac{10 \times 4}{1 \times 4} = \frac{40 \text{ assignments}}{4 \text{ homework passes}} \] So, the three equivalent ratios of turned-in assignments to homework passes are: 1. 20 assignments to 2 homework passes 2. 30 assignments to 3 homework passes 3. 40 assignments to 4 homework passes

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The Deep Dive

If you turn in 10 assignments, you earn 1 homework pass, which gives us the ratio of 10 assignments to 1 homework pass (10:1). Now, let’s scale that up! If you turn in 20 assignments, you would earn 2 homework passes (20:2). Similarly, only turning in 30 assignments earns you 3 homework passes (30:3). So, three equivalent ratios are 10:1, 20:2, and 30:3! Now, just picturing a classroom buzzing with students all working hard and collecting those homework passes like trophies can really put a smile on your face! Just think how motivated everyone must feel to tackle those assignments, knowing that every 10 completed are just one step closer to their break from homework!

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