Rachel decided to have bouncy balls as a party favor. She determines that her ratio of bouncy balls to guests is 9:3. Explain how to find the number of balls needed for 30 guests.
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Identify the variables as number of guests, x, to the number of bouncy balls, y. The ratio, 9:3, can be simplified to 3:1 resulting in the constant of variation of 3. The equation y = 3x is used to substitute the 30 guests in for x, y = 3(30), y= 90, so she needs 90 bouncy balls for 30 guests.
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Answer:
Identify the variables as number of guests, x, to the number of bouncy balls, y. The ratio, 9:3, can be simplified to 3:1 resulting in the constant of variation of 3. The equation y = 3x is used to substitute the 30 guests in for x, y = 3(30), y= 90, so she needs 90 bouncy balls for 30 guests.
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