Question

The recommended number of flowers to plant in a garden is probational to its area as shown in the table below. What is the recommended number of flowers for a garden of 24 square feet?

Answer 1

The recommended number of flowers is 32

Explanation:

Given

The attached graph

Required

The number of flowers when area = 15

First, calculate the slope (m)

Considering

`(x_1,y1) = (12,60)`

`(x_2,y_2) = (15,20)`

`m = (y_2 - y_1)/(x_2 - x_1)`

`m = (20-16)/(15-12)`

`m = (4)/(3)`

Considering:

`(x_1,y_1) = (15,20)`

`(x_2,y_2) = (24,y)`

The slope is:

`m = (y_2 - y_1)/(x_2 - x_1)`

`m = (y - 20)/(24 - 15)`

`m = (y - 20)/(9)`

Recall that:
`m = (4)/(3)`

So:

`(4)/(3) = (y - 20)/(9)`

Multiply through by 9

`3*4 = y - 20`

`y = 20 + 3 * 4`

`y = 32`