Question

If a cell phone company has offered you two different rates one at 35 dollars per month and 5 cents per hone call the second offer is 55 per month and 2 cents per call so what would the inequality to model this problem and find where it is less expensive to go with the second plan

Answer 1

that is only half of it

Answer 2

Let x = # of phone calls

First plan: 35 + .05x
Second Plan: 55 + .02x

when is 35 + .05x < 55 + .02x

Subtract 35 from both sides, you get

.05x < 20 + .02x

Subtract .02x from both sides, you get
.03x < 20

Divide both sides by .03, you get

x < 2000/3 or x< 1666.6

so when less

Answer 3

so whe less than or equal to 1,666 calls, plan 1 is cheaper than Plan 2.

Answer 4

but why is there an x after it
here is the full question A cell phone company has offered you two different rates. The first rate is $35 per month and 5 cents per phone call (time does not matter). The second offer is $55 per month and 2 cents per call. Part A: Set up and solve the inequality to model this problem and find where it is less expensive to go with the second plan. The cell phone company also has two texting plans. The first is unlimited texts for $12. The second plan is 8 cents per text. Part B: Set up and solve an inequality to show when it less expensive to go with the second texting plan.

Answer 5

Because if you made 50 calls, then the price is .05 times 50.
If you make x calls, the cost is .05 times x, or .05x

Answer 6

that is, .05x represenst the total cost of making x calls at 5 cents a call.

Answer 7

.02x means the total cost for making x calls at 2 cents a call.

Answer 8

i wish my phone bill was that cheap

Answer 9

But I am trying to explain the algebraic expression .05x or .02x..thats what you asked me.

Answer 10

yes that is what I am asking

Answer 11

whats your question again?

Answer 12

nothing you explained it very well so I could understand it thank you for your help

Answer 13

welcome.