eileen has a greenhouse and is growing orchids. the table shows the average number of orchids that bloomed over a period of four months:
did the number of orchids increase linearly or exponentially?
a. linearly, because the table shows that the orchids increased by the same amount each month
b linearly, because the table shows a constant percentage increase in orchids each month
c. exponentially, because the table shows that the orchids increased by the same amount each month
d. exponentially, because the table shows a constant percentage increase in orchids each month

a.

step-by-step explanation:

let's try for linear first, since it's easier to determine than exponential!   if this is linear, then the difference between 2 y values divided by the difference of the corresponding x values will be the same (aka as the slope).

looking at the coordinates from month 1 to month 2:

now let's see if the difference between the y values over the x values from moth 2 to month 3 are the same:

because these values are the same, then this is a linear situation.   so your answer is a. because the number of orchids increased by the same amount (1.4) each month.

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step-by-step explanation:

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