Chapter 4.1, Problem 56PFA

To determine

To find: the following equations which represent the situation.

Answer to Problem 56PFA

The equation is $C=1.25g$ , option C.

Explanation of Solution

Given information:

The table shows the cost of purchasing various amounts of grapes.

Given options are,

  $C=0.8g$

  $C=4g+5$

  $C=1.25g$

  $C=g+0.50$

Calculation:

Consider the following equations are,

  $\begin{array}{l}C=0.8g\mathrm{.....................}(1)\\ C=4g+\mathrm{5..................}(2)\\ C=1.25g\mathrm{..................}(3)\\ C=g+\mathrm{0.50...............}(4)\end{array}$

Now, consider the equation (1), and substitute the value of $g$ from table,

  $\begin{array}{c}C=0.8g\\ C=0.8\times 1.8\\ =1.44\end{array}$

Which does not belongs to the corresponding value of $C$ .

Now, consider the equation (2), and substitute the value of $g$ from table,

  $\begin{array}{c}C=4g+5\\ C=4\times 1.8+5\\ =12.2\end{array}$

Which does not belongs to the corresponding value of $C$ .

Now, consider the equation (3), and substitute the value of $g$ from table,

  $\begin{array}{c}C=1.25g\\ C=1.25\times 1.8\\ =2.25\end{array}$

Which is belongs to the corresponding value of $C$ .

So, the answer is Option C.

So, the equation is $C=1.25g$ .