Question

reese has a greenhouse and is growing daisies. the table shows the average number of sunflowers that bloomed over a period of four months.months- 1 2 3 4daisies- 10 13.1 16.2 19.3did the number of daisies increase linearly or exponentially?

Answer 1

SOLUTION:

Step 1:

We want to find out whether the number of daisies increase linearly or exponentially

Step 2:

we want to test if the ratio of the changes in daisies and months is constant

$\frac{13.1\text{ - 10}}{2-1}\text{ = }\frac{3.1}{1}\text{ = 3.1}$$\frac{16.2\text{ - 13.1}}{3-2}\text{ = }\frac{3.1}{1}\text{ = 3.1}$$\frac{19.3-\text{ 16.2}}{4-3}\text{ = }\frac{3.1}{1}\text{ = 3.1}$

Conclusion:

Since the ratio of the changes is constant (i.e 3.1), so the number of daisies increases linearly.