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Comparing Function Rates
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Comparing Function Rates
Compare how quickly quantities change by examining and explaining their rates.
Understanding Rate of Change
1.A rate of change describes how one quantity changes compared with a change in what?
2.A runner covers 4 miles each hour. A second runner covers 7 miles each hour. Which distance function has the greater rate of change?
- The first runner's function
- The second runner's function
- Both have the same rate
3.A candle burns down 2 inches per hour. A different candle burns down 5 inches per hour. Which candle's height changes faster?
- The candle burning down 2 inches per hour
- The candle burning down 5 inches per hour
- They change at the same rate
Compare and Explain Rates
Use the rates and units in each comparison to support your explanation.
4.A delivery van travels 36 miles per hour, while a small truck travels 48 miles per hour. Write one sentence naming the faster function and comparing their rates.
5.Zoe deposits $8 into a savings account each week. Mateo deposits $5 each week. Which balance function grows faster? Explain using both rates.
6.One water tank's level rises 3 inches per minute. Another tank's level rises 9 inches per minute. Complete: The second tank's level changes times as fast as the first tank's level.
Create and Interpret Comparisons
7.Invent two real-world situations with different positive rates, including units. Then state which quantity changes faster and explain why.
8.In your own words, explain what it means for one function to change faster than another. Include what you compare.
9.A car travels 72 miles per hour and a scooter travels 18 miles per hour. How many times the scooter's rate is the car's rate?
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