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yarga [219]
3 years ago
8

A phone company has a monthly data plan where a customer pays flat monthly fee of $ 15 and then a certain amount of money per gi

gabyte (GB) of data used on the phone. If a customer uses 3 GB, the monthly cost will be $ 24 . If the customer uses 7 GB, the monthly cost will be $ 36.
Find a linear equation for the monthly cost of the data plan as a function of x, the number of MB used.
Mathematics
1 answer:
ololo11 [35]3 years ago
3 0

Answer:

Step-by-step explanation:

let x represent the number of MB used in a month.

Let y represent the monthly cost of using x MB.

If we plot y on the vertical axis and x on the horizontal axis, a straight line would be formed. The slope of the straight line would be

Slope, m = (36 - 24)/(7 - 3)

m = 12/4 = $3

We would represent the linear equation in the slope - intercept form which is expressed as

y = mx + c

Where

c = y intercept

m = slope

At the y intercept, x = 0. Therefore, the y intercept is the flat monthly fee of $15. It is charged whether MB is used or not. Therefore, the linear equation is

y = 3x + 15

Or

C(x) = 3x + 15

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Paladinen [302]

Answer:

B. x ≥ 1

Step-by-step explanation:

Step 1: Subtract 6x from both sides

4x + 16 ≥ 20

Step 2: Subtract 16 from both sides

4x ≥ 4

Step 3: Divide both sides by 4

x ≥ 1

And we have our answer!

4 0
3 years ago
Read 2 more answers
If nm = 8x - 14 and jk = x squared + 1, find JK
marissa [1.9K]

A parallelogram in which adjacent sides are perpendicular to each other is called a rectangle. The length of Jk can be either 10 or 26.

<h3>What is a rectangle?</h3>

A parallelogram in which adjacent sides are perpendicular to each other is called a rectangle. A rectangle is always a parallelogram and a quadrilateral but the reverse statement may or may not be true.

Since in a rectangle the opposite sides are equal, therefore, the sides NM and JK will be equal.

JK = MN

8x - 14 = x² + 1

0 = x² - 8x + 15

x = 5, 3

Hence, the length of Jk can be either 10 or 26.

The complete questions are:

Quadrilateral JKMN is a rectangle, if NM= 8x - 14 and JK= x squared + 1, find JK.

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2 years ago
Graph the line with slope 3 and y-intercept -8.
Rama09 [41]
There you go hope this helps

3 0
3 years ago
Find the area of the parallelogram.
Ivenika [448]

Answer:

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Step-by-step explanation:

22x6=132

7 0
3 years ago
You are planning to hire a full-time electrician who will work 40 hours per week. If you plan on giving this new hire three week
tresset_1 [31]

Option b) 1960 is the total number of hours the electrician worked.

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

It is given that, the full-time electrician will work 40 hours per week.

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Therefore, one year has a total of 365 days.

<u>To find the number of weeks in twelve months :</u>

Number of weeks = Total days in one year / 7 days of week

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The number of weeks in twelve months is 52 weeks.

Now, of this 52 weeks, the three weeks are given as vacation.

The total number of weeks the electrician worked = 52 weeks - 3 weeks

⇒ 49 weeks.

The electrician worked for 49 weeks.

To calculate the total number of hours he worked = 49 weeks × 40 hours

⇒ 1960 hours.

Therefore, the  total number of hours the electrician worked is 1960 hours which is option b).

5 0
3 years ago
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