Chapter 8.8, Problem 40PPS

To determine

The budget of the Mr. Awan to paint the dining room.

Answer to Problem 40PPS

Mr. Awan has overall cost of the paining the dining room.

Explanation of Solution

Given:

Budget $\$860$

Material Cost $\$100$

Charges of Painter per Hour $\$35$

Concept Used:

The Slope-intercept:

  $y=mx+b$

Calculation:

  $y=mx+b$

The slope-intercept form where $x$ and $y$ are coordinate points $\left(x,y\right)$

  $m$ is the slope $b$ is the $y$ - intercept.

  $y=mx+b$

Slope: $-35,y-$ intercept $:100$

  $y=35x+100.$

When the rate is of the painter will be the slope $\left(m\right)$ the initial cost of materials will be the y-intercept at $\$100.$

The equation would be then be $y=35x+100.$

  $\begin{array}{l}y=35x+100\\ y=35\left(20\right)+100\\ y=700+100\\ y=800\end{array}$

Solve for the total cost $\left(y\right)$ when the number of hours to work on the painting job is $20$ hours $\left(x\right).$

The total cost world be $\$800.$ this is lesser than the budget Mr. Awan has and therefore he has enough money to paint the dining room.

Conclusion:

Hence, Mr. Awan has overall cost of the paining the dining room.