The honor society held a canned goods drive. they ran great advertising campaigns and collections increased. the following table represents collections | day cans collected | 1 15 | 2 | 20 3 | 25 4 | 30 5 | 35 6 | 40 the number of cans collected is increasing: a.) linearly b.) quadratically c.) exponentially

Hence, the number of cans collected is increasing linearly.

The table that represent the collection is given by:

Day Cans         Collected

|

   1                            15

|

    2                          20

    3                          25

    4                          30

    5                          35

    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.

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