Question

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$

Answer 1

Answer:

$4\frac{1}{11}$ 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

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

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