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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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What is the next fraction in each of the following patterns?1/40,4/40,9/40,16/40,25/40...?
tresset_1 [31]
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a1=1/40
a2=4/40
a3=9/40
a4=16/40
a5=25/40
a6=?

we know that
a2-a1=4/40-1/40----> 3/40
a3-a2=9/40-4/40-----> 5/40
a4-a3=16/40-9/40----> 7/40
a5-a4=25/40-16/40---> 9/40

the difference is
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3/40+[2/40]---> 5/40
5/40+[2/40]---> 7/40
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the next will be
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so
the next term is 25/40+[11/40]------> 36/40

the answer is
36/40
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3 years ago
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