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xxTIMURxx [149]
3 years ago
14

Connor just switched to a new phone plan. His old phone plan was $10 plus 10 cents per gigabyte of data overage. His new plan is

$12 plus 8 cents per gigabyte of data overage. Connor claims that he is going to pay less on his new plan because he always goes over his data limit. His data overage was 105 gigabytes. Is Connor's claim true?
A- Yes, because 0.10(105) > 0.08(105).
B- Yes, because 10 + 0.10(105) > 12 + 0.08(105).
C- No, because 10 + 0.10(105) < 12 + 0.08(105).
D- No, because 0.10(105) < 0.08(105).
Mathematics
1 answer:
Archy [21]3 years ago
3 0
First, let's write an expression for both plans. We will use x for the data overage in gigabytes.

Old plan: 10 + 0.10x

New plan: 12 + 0.08x

Now let's plug in 105 to the expressions to determine the costs of the plans.

Old plan: 10 + 0.10(105) = $20.50

New plan: 12 + 0.08(105) = $20.40

So yes, Connor was correct because when we compare his plans, the new one costs 10 cents less.

The answer is B.


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zaharov [31]

Hello there,

Well we are going to start off with the equation to find the slope based on the given points:

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Now using the two given points we are going to plug in and solve:

                                         \frac{(-12)-(-14)}{(-18)-(-22)} = \frac{2}{4} = \frac{1}{2}

From this you know that \frac{1}{2} is the slope of the equation. However, to find the y-intercept we are going to use y = mx+ b and plug in one of the points to solve:

                                        (-14) = \frac{1}{2} (-22) + b

                                        (-14) = (-11) + b

                                         -3 = b

That means that the y-intercept is at (0, -3). Lastly, we are just going to plug all this into the slope-intercept form:

                                       y = \frac{1}{2} - 3

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makvit [3.9K]
<h3>Answer:   10,080</h3>

Explanation:

There are 8 letters so there are 8! = 8*7*6*5*4*3*2*1 = 40,320 permutations of those letters. However, the letters "O" and "L" show up twice each, so we must divide by 2! = 2*1 = 2 for each instance this happens.

So,

(8!)/(2!*2!) = (40,320)/(2*2) = (40,320)/4 = 10,080

is the number of ways to arrange the letters of "football".

The reason we divide by 2 for each instance of a duplicate letter is because we can't tell the difference between the two "O"s or the two "L"s. If there was a way to distinguish between them, then we wouldnt have to divide by 2.

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Answer:

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Step-by-step explanation:

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