6) an electronics store makes a profit of $90 for every television sold and $72 for every computer sold. the…

6) an electronics store makes a profit of $90 for every television sold and $72 for every computer sold. the manager’s target is to make at least $900 a day on sales from televisions and computers. will the sale of 5 televisions and 6 computers help the manager reach his goal? show your work or explain in detail.\n7) pat has x quarters and y dimes, and, but, has no more than two dollars. write an inequality that represents this situation.

6) an electronics store makes a profit of $90 for every television sold and $72 for every computer sold. the manager’s target is to make at least $900 a day on sales from televisions and computers. will the sale of 5 televisions and 6 computers help the manager reach his goal? show your work or explain in detail.\n7) pat has x quarters and y dimes, and, but, has no more than two dollars. write an inequality that represents this situation.

Answer

Explanation:

Step1: Calculate profit from televisions

Profit from 5 televisions: $90\times5 = 450$

Step2: Calculate profit from computers

Profit from 6 computers: $72\times6=432$

Step3: Calculate total profit

Total profit: $450 + 432=882$

Step4: Compare with target

Since $882<900$, the goal is not reached.

Step5: For the second - part

Value of a quarter is $0.25$ and of a dime is $0.1$. Total value is $0.25x + 0.1y$. Since it's no more than 2 dollars, the inequality is $0.25x+0.1y\leq2$

Answer:

No, the sale of 5 televisions and 6 computers will not help the manager reach the goal. The inequality is $0.25x + 0.1y\leq2$