Answer to Question #291998 in Algebra for Destynee

Question

 Emily and Andy each go to a hardware store to buy wire. The table shows the cost y in dollars for x inches of the wire they need. Emily needs 22 feet of the wire. Andy needs 13 yards of the wire. How much will each of them spend for​ wire?

Answer 1

The given table is;

Length in Inches (x) | Cost in Dollars (y)

100 | 5.00

145 | 7.25

150 | 7.50

185 | 9.25

From the table above, 1inch costs $0.05 since;

$\displaystyle \frac{5}{100}=\frac{7.25}{145}=\frac{7.50}{150}=\frac{9.25}{185}$

Now,

For Emily: Since$\displaystyle 1 \text{inch}=\frac{1}{12} \text{ foot, thus Emily needs }264\text{ inches of the wire.}\\$

But from the question, 1 inch of wire is sold at $0.05, thus we have that Emily will spend $\displaystyle \$\left(\frac{264\times5}{100}\right)=\$13.2$ for her wire.

For Andy: Since$\displaystyle 1 \text{inch}=\frac{1}{36} \text{ yard, thus Andy needs }468\text{ inches of the wire.}\\$

But from the question, 1 inch of wire is sold at $0.05, thus we have that Andy will spend $\displaystyle \$\left(\frac{468\times 5}{100}\right)=\$23.40$ for her wire.