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Sloan [31]
2 years ago
10

The inequality that will determine the number of months, x, that are required for the second phone to be less expensive is . The

solution to the inequality is . Sal's mother would have to keep the second cell phone plan for at least months in order for it to be less expensive.
Mathematics
2 answers:
Anarel [89]2 years ago
5 0

Answer:

I'm terrible at explaining so here's a screenshot

- Ripper

Step-by-step explanation:

toastinnn
2 years ago
how do u screenshot?
ziro4ka [17]2 years ago
4 0

<em>Question:</em>

<em>Sal is trying to determine which cell phone and service plan to buy for his mother. The first phone costs $100 and $55 per month for unlimited usage. The second phone costs $150 and $51 per month for unlimited usage. </em>

<em>The inequality that will determine the number of months, x, that are required for the second phone to be less expensive is . </em>

<em>The solution to the inequality is . </em>

<em>Sal’s mother would have to keep the second cell phone plan for at least months in order for it to be less expensive.</em>

Answer:

a. 150 + 51x < 100 + 55x

b. x > 12.5

c. At least 13 months

Step-by-step explanation:

Given

First Phone;

Cost = \$100

Additional = \$55 <em>(monthly)</em>

Second Phone;

Cost = \$150

<em />Additional = \$51<em> (monthly)</em>

<em></em>

Solving (a): The inequality

<em></em>

Represent the number of months with x

The first phone is expressed as:

100 + 55x

The second phone is expressed as:

150 + 51x

For the second to be less expensive that the first, the inequality is:

150 + 51x < 100 + 55x

Solving (b): Inequality Solution

150 + 51x < 100 + 55x

Collect Like Terms

51x-55x

-4x

Solve for x

x > -50/-4

x > 12.5

Solving (c): Interpret the solution in (b)

x > 12.5 implies 13, 14, 15....

Hence, She'll keep the second phone for a period of at least 13 months

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PIT_PIT [208]

There are 2 tangent lines that pass through the point

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and

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Explanation:

Given:

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The point-slope form of the equation of a line tells us that the form of the tangent lines must be:

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For the lines to be tangent to the curve, we must substitute the first derivative of the curve for m:

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Substitute equation [2] into equation [1]:

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Because the line must touch the curve, we may substitute y=\frac{x}{x+1}:

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x=-2 ± \sqrt{3}<em> </em>and x=-2-\sqrt{3}

There are 2 tangent lines.

y=\frac{1}{(-1+\sqrt{3)^2} } (x-1)+2

and

y=\frac{1}{(-1-\sqrt{3)^2} } (x-1)+2

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I bolded the number closest to your answer choices, hope this helps!

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