Chapter 6.4, Problem 3GP

To determine

To write: An equation that inter-relates amount of meat from its related cost. Also to calculate the cost of 4 pounds meat.

Answer to Problem 3GP

The equation relating amount of meat to its cost is $y=2.88x$ and the cost of 4 pound meat is $\$11.52$ .

Explanation of Solution

Given information: The cost of $2\frac{1}{2}$ pound meat is $\$7.20$ .

Concept used: Here the equation will be set using following statement:

Total cost = cost per pound × total pounds

And cost per pound will be calculated by dividing 7.2 by 2.5.

Calculation:

  $\text{Cost of }2.5\text{ pounds}=\$7.20$

Then, $\text{Cost of 1 pound}=\$\frac{7.20}{2.5}=\$2.88$

Let, total amount of meat is represented as x and total cost by y, so based on above formula, equation is set as:

  $y=2.88x$

On plug in $x=4$ in above equation,

  $y=2.88\times 4=11.52$

Therefore, required equation $y=2.88x$ and cost of 4 pound of meat is $\$11.52$ .