3. a cell phone company offers two texting plans. people who use plan a pay 10 cents
for each text sent or received. people who use plan b pay 12 dollars per month, and
then pay an additional 2 cents for each text sent or received.
a. write an inequality to represent the fact that it is cheaper for someone to use
plan a than plan b. use x to represent the number of texts they send.
b. solve the inequality.

  a. 0.10x < 12 + 0.02x

  b. x < 150

Step-by-step explanation:

a. For sending x texts, the cost of Plan A in dollars is ...

  0.10x

For sending x texts, the cost of Plan B in dollars is ...

  12 + 0.02x . . . . . . where 12 is the monthly charge regardless of texts sent

We want the Plan A charge to be less than the Plan B charge, so the inequality is ...

  0.10x < 12 + 0.02x

__

b. Subtract 0.02x:

  0.08x < 12

Divide by 0.08

  x < 12/0.08

  x < 150 . . . . . the solution to the inequality

Plan A: 0.10x

Plan B: 12 + 0.02x

It greatly depends on how many texts they receive each month. If they send or receive only 50 text messages a month, plan A will be the plan to go with. They will pay $5.00 for plan A and they would pay $13 for plan B. If they send or receive 1000 text messages a month, plan B will be the plan to go with. They will pay $100.00 for plan A and they would pay $32 for plan B.

0.10x = 12 + 0.02x

-11.90x = 0.02x

x = 150

For you to want plan A, the inequality would be x < 150 and for you to want plan B, the inequality would be x > 150. In other words, you must send or receive less than 150 text messages to want plan A and you must send or receive over 150 text messages for you to want plan B.

Hope this helps!

3/4 ÷ 3/4

step-by-step explanation:

basically divide any proper fraction with itself to fit the criteria.

so if we are using 3/4, then:

3/4 ÷ 3/4 = 1

so 1 is the quotient.

and the numerators for both these fractions is 3.   and if we divide the numerators:

3 ÷ 3 = 1

we see that quotient is equal to our original quotient as well.

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step-by-step explanation: