Biology: The variable h represents the number of hours spent doing yard work and the variable d represents the amount of money earned how many hours spent doing yard work and the variable d represents the amount of money earned how many hours in all will it take Whitney to earn 15$

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The variable h represents the number of hours spent

arunamvr

10.07.2021

$4\frac{1}{11}$ hours

Explanation:

Given

See attachment for graph

First, we determine the equation of the graph.

Pick any two points from the graph

(h_1,d_1) =(18,168)

(h_2,d_2) =(36,366)

Calculate the slope (m)

$m = \frac{d_2 - d_1}{h_2 -h_1}$

This gives:

$m = \frac{366 - 168}{36 -18}$

$m = \frac{198}{18}$

m = 11

The equation is then calculated as:

d = m(h - h_1) + d_1

This gives:

d = 11(h - 18) + 168

Open bracket

d = 11h - 198 + 168

d = 11h-30

So, the number of hours to earn $15 is:

d = 11h-30

15 = 11h -30

Collect like terms

11h = 15 + 30

11h = 45

Solve for h

$h = \frac{45}{11}$

$h = 4\frac{1}{11}$

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