Chapter SH, Problem 5.7MPS

To determine

To calculate:To write and solve an inequality equation to find the number of sales required each month to earn at least $\$3000$ , when Jin earns $\$2350$ plus $\$40$ each month for each sale.

Answer to Problem 5.7MPS

The inequality equation is $x\ge 16.25$ , so the minimum number of sales required to earn at least $\$3000$ is $17$ .

Explanation of Solution

Given information:

Given-

Jin earns $\$2350$ plus $\$40$ each month for each sale

Calculation:

Given-

Jin earns $\$2350$ plus $\$40$ each month for each sale.

Let the number of salesbe $x$ .

So, the total amount to be earned $=$ $\$2350+40x$

So, the inequality equation to make the profit of at least $\$3000$ , we have:

Total amount to be earned $\ge$ $\$3000$

  $\$2350+40x$ $\ge$ $\$3000$

Solving further, we have:

  $\begin{array}{l}40x\ge 650\\ x\ge 16.25\end{array}$

Thus, the minimum number of sales required to earn at least $\$3000$ is $17$ .

Conclusion:

The inequality equation is $x\ge 16.25$ , so the minimum number of sales required to earn at least $\$3000$ is $17$ .