Question

a cell phone company offers two different monthly text-messages plan as shown is the table below. if amanda sends 68 messages a month, which plan should she choose? justify your answer mathematically

Answer 1

Answer:

The answer would be Plan B

Step-by-step explanation:

35 and 18 are flat rates which mean you only pay for them once. 0.10 and 0.18 are how much she is being charged for one message.

My work:

Plan A

35+0.10(68) - we multiply 68 by 0.10 which is 6.8

35+6.8=41.8- 41.8 is how much she would pay for plan A

Plan B

18+0.10(68)- we multiply 68 by 0.10 which is 6.8

18+6.8=24.8- 24.8 is how much she would pay for plan A

when we compare them 24.8 is less than 41.8

Hope this helps!

Answer 2

Cost is the expense occurred for a service the goods. The cost of the price B is less than the cost of the price A. Thus Amanda choose the plan B.

Given information-

The monthly cost of the plan A is $35 at the rate of $0.10 per massage.

The monthly cost of the plan B is $18 at the rate of $0.30 per massage.

The requirement of the Amanda is 68 massage per month.

We have to create the equation using the given condition to solve the problem.

Cost

Cost is the expense occurred for a service the goods.

Let $p_1$ the price of the 68 massage per month with cost $35 at the rate of $0.10 per massage choosing plan A. Thus,

$p_1=35+0.1\times68\\ p_1=41.8$

Thus the cost of 68 massage per month with cost $35 at the rate of $0.10 per massage choosing plan A is $41.8.

Let $p_2$ the price of the 68 massage per month with cost $18 at the rate of $0.30 per massage choosing plan B. Thus,

$p_2=18+0.3\times68\\ p_2=38.4$

Thus the cost of 68 massage per month with cost $18 at the rate of $0.30 per massage choosing plan B is $38.4.

Hence the cost of the price B is less than the cost of the price B. Thus Amanda choose the plan B.

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