Question

Consider Jimmy and Lisa's cellphone plans. Jimmy's plan has a base charge of $50 per month with an additional charge of 65¢ per app downloaded, while Lisa's plan includes a base charge of $55 per month with an additional charge of 40¢ per app downloaded.

A. Can you write down the equations representing Jimmy's and Lisa's cellphone plans, including their base charges and additional charges based on the number of apps downloaded?
B. If both Jimmy and Lisa download 10 apps each, how much will their respective cellphone bills be?
C. How many apps would Jimmy and Lisa need to download for their bills to be the same?

Answer 1

The equations representing Jimmy's and Lisa's cellphone plans are: Total Cost = $50 + ($0.65 x Number of Apps Downloaded) for Jimmy, and Total Cost = $55 + ($0.40 x Number of Apps Downloaded) for Lisa. If both Jimmy and Lisa download 10 apps each, Jimmy's bill would be $57.50 and Lisa's bill would be $59.00. To find the number of apps they would need to download for their bills to be the same, we can set their total costs equal to each other and solve for the number of apps downloaded.

Step-by-step explanation:

A. The equation representing Jimmy's cellphone plan is: Total Cost = Base Charge + (Additional Charge Per App Downloaded x Number of Apps Downloaded). So Jimmy's equation would be Total Cost = $50 + ($0.65 x Number of Apps Downloaded).

The equation representing Lisa's cellphone plan is: Total Cost = Base Charge + (Additional Charge Per App Downloaded x Number of Apps Downloaded). So Lisa's equation would be Total Cost = $55 + ($0.40 x Number of Apps Downloaded).

B. To calculate their respective cellphone bills, we can use the equations we derived in part A. If both Jimmy and Lisa download 10 apps each, Jimmy's bill would be $50 + ($0.65 x 10) = $57.50 and Lisa's bill would be $55 + ($0.40 x 10) = $59.00.

C. To find the number of apps they would need to download for their bills to be the same, we can set their total costs equal to each other and solve for the number of apps downloaded. Using their equations from part A, we can set $50 + ($0.65 x Number of Apps Jimmy Downloaded) = $55 + ($0.40 x Number of Apps Lisa Downloaded). By rearranging and solving this equation, we can find the number of apps they would need to download for their bills to be the same.