Question

Gertrude is deciding which cell phone plan is the best deal for her to buy. Super Cell charges a monthly fee of $10 and also charges $0.15 per call. She makes a note that the equation is M = 0.15C + 10, where M is the monthly charge, in dollars, and C is the number of calls placed. Global Cellular has a plan with no monthly fee but charges $0.25 per call. She makes a note that the equation is M = 0.25C, where M is the monthly charge, in dollars, and C is the number of calls placed. Both companies offer unlimited text messages.
a. Make a table for both companies showing the cost of service, M, for making from 0 to 200 calls per month. Use multiples of 20.
b. Construct a graph for the two equations on the same graph. Use the number of calls, C, as the independent variable and the monthly charge, in dollars, M, as the dependent variable.
c. Which cell phone plan is the best deal for Gertrude? Defend your answer with specific examples.

Answer 1

Answer:

a) The tables for both plans are attached.

b) The graph of both plans are attached.

c) If Gertrude is going to make less than 100 calls per month the best plan is Global Cellular. On the other hand, if Gertrude is going to make more than 100 calls per month the best option is Super Cell.

Step-by-step explanation:

a) We make a table for both companies. You can see that making 100 calls is the same cost per month in both companies.

Super Cell: M(100)=0.15×100+10= $25

Global Cellular: M(100)=0.25×100= $25

b)In the picture attached is shown the graph of both companies. The red line shows the graph of Super Cell plan and the blue line shows the graph of Global Cellular plan.

c) If Gertrude is going to make less than 100 calls per month the best plan is Global Cellular. Because blue line is below the red one(that means Super Cell is cheaper)

On the other hand, if Gertrude is going to make more than 100 calls per month the best option is Super Cell. Because red line is below the blue one(that means Global Cellular is cheaper)