Question

The Honor Society held a canned goods drive. They ran great advertising campaigns and collections increased. The following table represents collections

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Day Cans Collected
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1 15
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2 | 20
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3 | 25
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4 | 30
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5 | 35
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6 | 40

The number of cans collected is increasing: a.) linearly b.) quadratically c.) exponentially

Answer 1

The cans are increasing at a linear rate.

If you look at the number of cans collected, you will see that they are increasing by 5 each time. Since the rate of change is the same each day, it is a linear pattern.

Answer 2

Hence, the number of cans collected is increasing linearly.

Explanation:

The table that represent the collection is given by:

Day Cans Collected

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1 15

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2 20

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3 25

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4 30

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5 35

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6 40

The number of cans is increasing by a constant term that is five each day.

It could be modeled by the function:

f(t+1)=f(t)+5

where t represent the number of days.

the initial amount i.e. f(1)=15 cans.

Hence, the number of cans collected is increasing linearly.