A watering can dispenses water at a rate of 0.35 gallon per minute. The original volume of water in the can was 9 gallons. Which set of ordered pairs shows the volume of water in the can in gallons (y) as a function of time in minutes (x) from the first minute after the can starts dispensing water?
Question
Answer:
Answer: {(1, 8.65), (2, 8.30), (3, 7.95)}
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EXPLANATION
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Given,
The watering can dispenses water at a rate of 0.35 gallon
per minute.
The original volume of water in the can was 9 gallons.
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Therefore if,
y = the volume of water in the can in gallons
x = time in minutes
f(x) = y = 9 β 0.35x
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When x = 1,
y = 9 β 0.35(1)
y = 9 β 0.35
y = 8.65
Therefore we have the pair (1, 8.65)
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When x = 2,
y = 9 β 0.35(2)
y = 9 β 0.7
y = 8.3
Therefore we have the pair (2, 8.30)
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When x = 3,
y = 9 β 0.35(3)
y = 9 β 1.05
y = 7.95
Therefore we have the pair (3, 7.95)
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The set of ordered pairs shows the volume of water in the
can in gallons (y) as a function of time in minutes (x) from the first minute
after the can starts dispensing water is {(1, 8.65), (2, 8.30), (3, 7.95)}
solved
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11 months ago
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