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

Question

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

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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.

Hence, the number of cans collected is increasing linearly.

### Step-by-step explanation:

The table that represent the collection is given by:

Day Cans Collectedn

——————|———————n

1 15n

——————|———————n

2 20n

—————————————-n

3 25n

—————————————-n

4 30n

—————————————-n

5 35n

—————————————-n

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.