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
[tex](x_1,y1) = (12,60)[/tex]
[tex](x_2,y_2) = (15,20)[/tex]
[tex]m = \frac{y_2 - y_1}{x_2 - x_1}[/tex]
[tex]m = \frac{20-16}{15-12}[/tex]
[tex]m = \frac{4}{3}[/tex]
Considering:
[tex](x_1,y_1) = (15,20)[/tex]
[tex](x_2,y_2) = (24,y)[/tex]
The slope is:
[tex]m = \frac{y_2 - y_1}{x_2 - x_1}[/tex]
[tex]m = \frac{y - 20}{24 - 15}[/tex]
[tex]m = \frac{y - 20}{9}[/tex]
Recall that: [tex]m = \frac{4}{3}[/tex]
So:
[tex]\frac{4}{3} = \frac{y - 20}{9}[/tex]
Multiply through by 9
[tex]3*4 = y - 20[/tex]
[tex]y = 20 + 3 * 4[/tex]
[tex]y = 32[/tex]
