1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
olganol [36]
2 years ago
11

Under her cell phone plan, Sarah pays a flat cost of $69 per month and $4 per gigabyte. She wants to keep her bill at $83.80 per

month. Write and solve an equation which can be used to determine gg, the number of gigabytes of data Sarah can use while staying within her budget.
Mathematics
1 answer:
zalisa [80]2 years ago
7 0

Using a linear function, it is found that Sarah can use 3.7 gigabytes while staying within her budget.

<h3>What is a linear function?</h3>

A linear function is modeled by:

y = mx + b

In which:

  • m is the slope, which is the rate of change, that is, by how much y changes when x changes by 1.
  • b is the y-intercept, which is the value of y when x = 0, and can also be interpreted as the initial value of the function.

Considering the flat cost as the y-intercept and the cost per gigabyte as the slope, the cost of using g gigabytes is:

C(g) = 4g + 69.

She wants to keep her bill at $83.80 per month, hence:

C(g) = 83.80

4g + 69 = 83.80

4g = 14.80

g = 14.80/4

g = 3.7.

Sarah can use 3.7 gigabytes while staying within her budget.

More can be learned about linear functions at brainly.com/question/24808124

#SPJ1

You might be interested in
the volume V of a gas at a constant temperature varies inversely with the pressure P. when the volume is 100 cubic inches the pr
fiasKO [112]

Answer:

The pressure is 20\ psi

Step-by-step explanation:

we know that

A relationship between two variables, x, and y, represent an inverse variation if it can be expressed in the form y*x=k or y=k/x

In this problem we have

V*P=k

where

V is the volume of a gas at a constant temperature

P is the pressure

we have

For V=100\ in^{3},P=25\ psi

step 1

Find the value of k

substitute the values of V and P

100*25=k

k=2,500

The equation is equal to  V*P=2,500

step 2

Find the pressure when the volume is 125 cubic inches

For V=125\ in^{3}

substitute in the equation and solve for P

125*P=2,500

P=2,500/125=20\ psi

8 0
3 years ago
Which graph is that one of the inequality shown below?
Sloan [31]

Answer:

D

Step-by-step explanation:

3 0
2 years ago
Read 2 more answers
Multiply.<br> (3b-5) (7b+1)<br> Simplify your answer.
mylen [45]
<h3>Answer:</h3>

It would be 21b² -32b -5

<h3>Step-by-step explanation:</h3>

By using the FOIL method, you can simplify the equation.

<em>The Foil Method is </em><u><em>ac + ad + bc +bd</em></u><em>, or </em><u><em>First, Outer, Inner, Last.</em></u>

First, you multiply the first term in each bracket.

3b * 7b = 21b²

Next, you multiply the outer term in each bracket.

3b * 1 = 3b

Then, you multiply the inner term in each bracket.

-5 * 7b = -35b

After that, you multiply the last term in each bracket.

-5 * 1 = -5

Lastly, you combine like terms.

21b² + 3b -35b -5 ---> 21b² -32b -5

<em>21b² -32b -5 would be your answer, since you cannot simplify the equation anymore.</em>

7 0
3 years ago
Connie Harris, in charge of office supplies at First Capital Mortgage Corp., would like to predict the quantity of paper used in
Amiraneli [1.4K]

Answer:

y = 0.325X + 7.5 ;

21.5 ;

R^2 = 0.7655 ;

r = 0.8749

Step-by-step explanation:

No. of loans originated ____ sheets of p/paper

45 ______________22

25 ______________ 13

50 _____________ 24

60 _____________ 25

40 _____________ 21

25 _____________ 16

35 _____________ 18

40 _____________ 25

Using the linear regression calculator : the linear model obtained is:

y = 0.325X + 7.5

y = predicted variable = sheets of photocopy paper

X = number of loans originated

0.325 = slope

Intercept = 7.5

B.)

X = 42

y = 0.325(42) + 7.5

y = 21.15

C.)

The Coefficient of determination as determined using the correlation coefficient calculator is :

R^2 = 0.7655 ; this means that about 76.55% of change in number of photocopy performed is explained by the number of loans originated.

D.) The correlation Coefficient (r) :

r = sqrt(R²)

r = sqrt(0.7655)

r = 0.8749

This shows that a strong positive correlation exists between the number of loans originated and the volume of photocopying done.

3 0
3 years ago
Do these equations have an identity or no solution?
Ksenya-84 [330]

1)no solution

2)no solution

3)no solution

7 0
3 years ago
Other questions:
  • Evaluate. [(12−5)⋅12]÷6
    14·1 answer
  • Which figures have perpendicular sides
    15·1 answer
  • Which expression is equal to the expression below (6x9)^5
    8·1 answer
  • Order these numbers from greatest to least: -4 , 1/4 , 0 , 4 , -3 1/2 , 7/4 , 5/4
    11·1 answer
  • The base of a rectangular prism has an area of 12 square centimeters. The height of the rectangular prism is 3 centimeters. What
    12·2 answers
  • Footlocker buys sneakers for $60 each and marks up the price by 30% so they can make a profit. What is the selling price of the
    12·1 answer
  • Part A: Describe how you can use similar triangles to explain why the slope of the graph between points A and B is the same as t
    8·1 answer
  • My number is the smallest 2 digit number that only has 2 factors
    11·2 answers
  • Elaine found the following in her pocket. How much money was in her pocket
    9·1 answer
  • Sample Response: The two conditional probabilities are not equal because each has different given events. P(A|D) has event D as
    13·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!