Chapter 3.3, Problem 19P

The unit cost for a piece of fabric is $ 4.99 per yard. You have $ 30 to spend on material. How many feet of material could you buy? Define a variable and write an inequality to solve this problem.

To determine

The feet of material that could you buy and also find the variable and write an equality to solve this.

Answer to Problem 19P

  $x\le 18.036$ feet of material could be buy.

The inequality is $\left(\frac{4.99}{3}\right)x\le 30$ .

The variable $x$ is less than or equal to $18.033$ feet.

Explanation of Solution

Given:

The unit cost for a fabric is $ $4.99$ per yard.

Maximum amount that can be spend is $ $30$ .

Since, $1$ yard = $3$ feet.

As given that cost per yard = $ $4.99$ .

Therefore, cost per $3$ feet = $ $4.99$ .

So, cost per feet is:

  $=\$\left(\frac{4.99}{3}\right)x$ .

Let, there are $x$ feet.

Therefore, cost for x feet is $\$\left(\frac{4.99}{3}\right)x$ .

  $\left(\frac{4.99}{3}\right)x\le 30$

Hence, $x\le 18.036$ feet.