SOLUTION: Imani wants to switch to a new text messaging plan. She is considering the two�monthly text messaging plans described below.� Plan E�has a base fee of $6.00 plus $0.10 per text m

Question 1015994: Imani wants to switch to a new text messaging plan. She is considering the two�monthly text messaging
plans described below.�
Plan E�has a base fee of $6.00 plus $0.10 per text message.
Plan F�has a base fee of $13 plus $0.05 per text message.
Which of the following is true based on the information above?
A. With a budget of $20 per month, both plans provide the same number of text messages.
B. Plan E costs less if Imani�sends more than 150 text messages each month.
C. Plan F costs less if Imani�sends less than 140 text messages each month.
D. With exactly 20 text messages each month, the two plans cost the same amount.

Answer by macston(5194) (Show Source): You can put this solution on YOUR website!
.
T=number of texts
.
$6.00+$0.10T=$13+$0.05T
$0.05T=$7
T=140
.
Plan E=$6+$0.10(140)=$6+$14.00=$20
Plan F=$13+$0.05(140)=#13+$7.00=$20
.
Both plans provide the same number of texts for $20.
Both plans cost the same for 140 texts.
More texts favor the plan with lower price per text (Plan F).
Fewer texts favor the plan with lower fixed rate (Plan E).
.
Correct answer is A.

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