Answered

Join IDNLearn.com today and start getting the answers you've been searching for. Our community provides accurate and timely answers to help you understand and solve any issue.

Select the correct answer from each drop-down menu.
A deli owner has determined that his revenue, y, from selling sandwiches each day is at most -0.05r2 + 6x where x represents the number
of sandwiches he sells. To make a gprofit, his revenue must be greater than his costs, represented by the expression 1.5x + 45.
Write a system of inequalities to represent the values of x and ywhere the deli owner makes a profit. Then complete the statements.
The point (30,90) is
The point (60,160) is
of this system.
of this system.

Sagot :

Facundo3141592idn

The system of inequalities is:

y ≤ -0.05*x^2 + 6x

y >  1.5x + 45

(30, 90) is not a solution of that system, while (60, 160) is a solution.

How to get the system of inequalities?

We know that the revenue y is given by:

y ≤ -0.05x^2 + 6x

And we know that the costs are 1.5x + 45, and the revenue must be larger than that, so we also have the inequality:

y >  1.5x + 45

So the system is:

y ≤ -0.05*x^2 + 6x

y >  1.5x + 45

Now, the point (30, 90) means that we need to replace x by 30 and y by 90, replacing that in the second inequality, we will get:

90 > 1.5*30 + 45 = 90

90 > 90

This is false, so the point is not a solution of this inequality, meaning that the point is not a solution of the system.

For the second point we do the same: x= 60, y = 160, replacing that in the second inequality we get:

160 > 1.5*60 + 45 = 135

160 > 135

This is true, now we need to check with the other inequality.

160 ≤  -0.05*60^2 + 6*60 = 180

This is also true.

So the point (60, 160) is a solution to the system.

If you want to learn more about systems of inequalities, you can read:

https://brainly.com/question/9774970

Answer:

30,90= not a solution
60,160= a viable solution

Step-by-step explanation:

View image Rynn0024
Thank you for using this platform to share and learn. Keep asking and answering. We appreciate every contribution you make. For trustworthy answers, rely on IDNLearn.com. Thanks for visiting, and we look forward to assisting you again.