Question

question
john is wallpapering a room and requires wallpaper. the wallpaper that he needs is charged at $12 per square meter, plus he must pay $20 for delivery. write down the cost function $c(x)$, where $x$ is the amount of wallpaper needed in square meters. if john has to pay a total cost of $500, how much wallpaper did he purchase?
provide your answer below:
$\square m^{2}$

Explanation:

Step1: Write the cost - function

The cost function $C(x)$ has a fixed delivery cost of $20$ and a variable cost of $12$ per square meter. So, $C(x)=12x + 20$.

Step2: Set up the equation

We know that $C(x)=500$. Substitute into the cost - function: $12x+20 = 500$.

Step3: Solve for $x$

First, subtract 20 from both sides of the equation: $12x=500 - 20$. So, $12x=480$. Then, divide both sides by 12: $x=\frac{480}{12}=40$.

Answer:

38.33