a. How many text messages would have to be sent or received in order for the plans to cost the same each month?
In order for the plans to cost the same, text messages would have to be send or received.
(Simplify your answer. Type an integer or a decimal.)
b. if you send or receive an average of 50 text messages each month, which plan would you choose? why? the plan with ________ because ____ than _ text messages are sent or received each month
a. To determine the number of text messages required for the plans to cost the same, we need to equate the two expressions for the total cost. Let's call the number of text messages x.
Plan A: $40 + 0.10x
Plan B: $25 + 0.15x
To find the number of text messages needed, we set the two expressions equal to each other and solve for x:
40 + 0.10x = 25 + 0.15x
0.10x - 0.15x = 25 - 40
-0.05x = -15
x = -15 / -0.05
x = 300
Therefore, in order for the plans to cost the same each month, 300 text messages would have to be sent or received.
b. If you send or receive an average of 50 text messages each month, the plan you would choose depends on the cost. Let's calculate the costs for both plans:
Plan A: $40 + 0.10 * 50 = $40 + $5 = $45
Plan B: $25 + 0.15 * 50 = $25 + $7.50 = $32.50
In this case, the plan with the lower cost is Plan B, as it costs $32.50 compared to $45 for Plan A.