At Noise Pollution Cellular, plan A is $30.00 per month and $5.00 for every gigabyte of data. Plan B is $50.00 per month and $2.00 for every gigabyte of data used. Irfan wants to find out which plan is the best choice for him. On average, he uses five to eight GB of data per month.How much data would Irfan need to use for both plans to cost the same?

Answers

Answer 1
Answer:

Answer:

Part 1) The best choice is Plan A

Part 2) The data is 6(2)/(3)\ GB

Step-by-step explanation:

Part 1)

Let

y ----> the cost per month

x ----> the number of GB of data per month

we know that

Plan A

y=5x+30

Plan B

y=2x+50

Find out which plan is the best choice if he uses five to eight GB of data per month

Plan A

For x=5 GB -----> y=5(5)+30=$55

For x=8 GB -----> y=5(8)+30=$70

so

with Plan A the cost is between $55 and $70 -----> average $62.5

Plan B

For x=5 GB -----> y=2(5)+50=$60

For x=8 GB -----> y=2(8)+50=$66

so

with Plan B the cost is between $60 and $66 ----> average $63

therefore

The best choice is Plan A

Part 2) How much data would Irfan need to use for both plans to cost the same?

we have

y=5x+30 ----> equation A

y=2x+50 ----> equation B

Solve the system of equations by elimination

Subtract equation B from equation A

0=5x-2x+30-50

0=3x-20

3x=20

x=(20)/(3)\ GB

Convert to mixed number

x=6(2)/(3)\ GB ----> for this data the cost is the same in both plans


Related Questions

HELP PLS!! What is the diameter of a circle whose circumference is 16pi centimeters?32 cm 16 cm 4 cm 8 cm
Triangle X Y Z is shown. The length of side X Y is (9 n + 12) feet and the length of side X Z is (15 n minus 6) feet. Angles X Y Z and Y Z X are congruent. Consider isosceles ΔXYZ. What is the value of n? What is the measure of leg XY? ft What is the measure of leg XZ? ft
OrEvaluate. Write your answer as a whole number or as a simplified fraction. 42 · 42 =
-5X - 8y = 36x + 3y =3Solve using elimination ?
What are three equivalent fractions to 4/11

Which is longer ; 180 seconds or 3 minutes?

Answers

Both 180 seconds or 3 minutes are equal.

What is division?

The division in mathematics is one kind of operation. In this process, we split the expressions or numbers into the same number of parts.

Given:

We have two times,

180 seconds and 3 minutes.

180 seconds in minutes,

= 180/60

= 3 minutes.

Therefore, both are the same.

To learn more about the division;

brainly.com/question/13263114

#SPJ2


how you find the answer is you divide 60 into 180 and you get 3 which means 3 minutes so their both the same 

In the standard (x, y) coordinate plane, what is the y-intercept of the line given by the equation 3x+5y = 8?

Answers

the y-intercept will be (8)/(5)

the standard line equation is y = mx + b, where y is the y point, x is the x point, m is the slope, and b is the y-intercept.

to get the y intercept, we need to transform  into the line equation, and caculate out b.

3x + 5y = 8
so 5y = 8 -3x
then y = (8)/(5) - (3)/(5)x
which  means that (8)/(5) = the y intercept.

If f(x) = 4x +5, find f(5).

Answers

The value of the functionf(x) = 4x +5 at x = 5 is f(5) = 25

What is function?

"It is a relation from a set of inputs to a set of possible outputs where each input is related to exactly one output."

For given example,

Given function: f(x) = 4x +5

We need to find the value of f(x)

This means, we need to find the function f(x) when x = 5

Substitute x = 5 in the given function.

⇒ f(x) = 4x +5

⇒ f(5) = 4(5) +5

⇒ f(5) = 20 + 5

⇒ f(5) = 25

Therefore, f(5) = 25

Learn more about the function here:

brainly.com/question/13581879

#SPJ2

F(5)=4x+5
F(5) is 0 at this point
Subtract 5 from both sides
-5=4x
Divide both sides by 4
-5/4=x
So f(5)=-5/4

What is (24 times 25)50 50=?

Answers

the answer to this is 600

Admission to the county fair is $5. And it costs and additional $0.50 for each ride ticket. What inequality represents this problem

Answers

Y = 0.50x + 5.00 the base number being what everyone pays should be your b value and the number it increase by should be your m in the equation y=mx+b hope that helps:)

Use a distributive property to write an equivalent expression.
8x + 5x

Answers

Answer:

2x+10x

Step-by-step explanation:

its basically just asking to re-write it by moving the numbers around :))