A local retailer has determined that the number x of PortaBoy game systems sold in a week is related to the price pp in dollars of each system. 105 game systems were sold when the price was $140. When the systems went on sale the following week, 210 systems were sold at $80 a piece.1) Find a linear function which fits this data. Use the weekly sales x as the independent variable and the price p as the dependent variable.p(x)=2) Find a suitable applied domain:3) If the retailer wants to sell 315 PortaBoys next week, what should the price be?Answer: p=__________ dollars 2)A car rental company offers two plans for renting a car.Plan A: $38 per day and unlimited mileage Plan B: $22 per day plus $0.20 per mileUse an inequality to find the number of daily miles for which plan B costs more than plan A.

Question
Asked Sep 30, 2019
26 views

A local retailer has determined that the number x of PortaBoy game systems sold in a week is related to the price pp in dollars of each system. 105 game systems were sold when the price was $140. When the systems went on sale the following week, 210 systems were sold at $80 a piece.

1) Find a linear function which fits this data. Use the weekly sales x as the independent variable and the price p as the dependent variable.

p(x)=

2) Find a suitable applied domain:

3) If the retailer wants to sell 315 PortaBoys next week, what should the price be?

Answer: p=__________ dollars

 

2)A car rental company offers two plans for renting a car.

Plan A: $38 per day and unlimited mileage
Plan B: $22 per day plus $0.20 per mile

Use an inequality to find the number of daily miles for which plan B costs more than plan A.

check_circle

Expert Answer

Step 1

Hey, since there are multiple questions posted, we will answer first question. If you want any specific question to be answered, then please submit that question only or specify the question number in your message.

Step 2

1.

Let x represents the number of portaboy game and p represents the price in dollars of each system.

When x = 105 then p = 140.

Then the point is (105, 140).

When x =210 then p = 80.

The point is (210,80).

To find a linear function, obtain the slope for the above 2 points.

fullscreen
Step 3

Let the linear equation be p(x) = mx + c.

Substitute the valu...

fullscreen

Want to see the full answer?

See Solution

Check out a sample Q&A here.

Want to see this answer and more?

Solutions are written by subject experts who are available 24/7. Questions are typically answered within 1 hour.*

See Solution
*Response times may vary by subject and question.
Tagged in

Math

Algebra

Other

Related Algebra Q&A

Find answers to questions asked by student like you

Show more Q&A add
question_answer

Q: A manufacturer of tools, selling rechargeable drills to a chain of home improvement stores, charges ...

A: Given:The manufacturing cost is $m and the manufacturer charges $2 more per drill.So the manufacture...

question_answer

Q: A 6ft piece of PVC pipe is cut into three pieces. The longest piece is 16 in. longer than four times...

A: Given that,Total length of PVC pipe = 16ft, that cut into 3 pieces.Longest piece is 16 in longer tha...

question_answer

Q: Solve and check the linear equation  (_9+7)_7=_8(x+2)

A: Solve the given linear equation as follows.

question_answer

Q: Can someone help me with this problem?

A: Let P(x) be the intensity of Passion for x years.From the graph it is observed that, the intensity o...

question_answer

Q: Find an equation for the line perpendicular to the line −3x−3y=−4−3x−3y=−4 having the same y-interce...

A: It is known that, let m1 and m2 be the slope of the perpendicular lines then m1×m2 = –1.

question_answer

Q: List the intervals on which f is decreasing

A: From the given graph, it is observed that the graph of the function f increasing in the intervals (–...

question_answer

Q: | 3x + 1| >5   Please give details, I am partially confused as to when to flip the inequality sig...

A: Consider the given inequality.|3x + 1| > 5

question_answer

Q: What are the blanks?

A: From the given information, the function f is linear such that  f(3) = 5  and slope of the function ...

question_answer

Q: How do I factor this equation? x4-6x3-5x2+24x+4

A: To determine the factor of given equation.