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

Answer:

The recommended number of flowers is 32

Step-by-step explanation:

Given

The attached graph

Required

The number of flowers when area = 15

First, calculate the slope (m)

Considering

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

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

$m = \frac{y_2 - y_1}{x_2 - x_1}$

$m = \frac{20-16}{15-12}$

$m = \frac{4}{3}$

Considering:

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

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

The slope is:

$m = \frac{y_2 - y_1}{x_2 - x_1}$

$m = \frac{y - 20}{24 - 15}$

$m = \frac{y - 20}{9}$

Recall that: $m = \frac{4}{3}$

So:

$\frac{4}{3} = \frac{y - 20}{9}$

Multiply through by 9

$3*4 = y - 20$

$y = 20 + 3 * 4$

$y = 32$