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Tutor profile: Carlos H.

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Carlos H.
Future math teacher
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Questions

Subject: Geometry

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Question:

Find the equation of a circle that has its center on $$ (2, -4) $$ and has a radius of 7.

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Carlos H.
Answer:

$$ (x-2)^2 + (y+4)^2 = 49 $$

Subject: Calculus

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Question:

The height of a football in feet $$ t $$ seconds after it is thrown can be modeled by the equation $$ f(t) = -x^2 + 5x + 6.4 $$ After how many seconds does the football reach its max height? What is that max height?

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Carlos H.
Answer:

To find the point where the football's height goes from increasing to decreasing, we can use the derivative. $$ f'(t) = -2t + 5 $$ $$ 0 = -2t +5 $$ $$ t = 5/2 $$ After 2.5 seconds, the football reaches its max height, which can be calculated by plugging 2.5 back into the original equation. $$ f(2.5) = 12.65 $$

Subject: Algebra

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Question:

Jenny has a phone plan that starts at $10 per month but also charges her $0.05 for each call he makes. Her parents would like her to keep her monthly total below $15 a month. How many calls a month can Jenny make while staying within budget?

Inactive
Carlos H.
Answer:

If "m" is how much her monthly bill will cost and "c" for number of calls, we can express this problem as a function: $$ m = 0.05c + 10 $$ If her parents wants the monthly cost to stay below $15, we would solve the inequality $$ 15 > 0.05c + 10 $$ $$ 5 > 0.05c $$ $$ 100 > c $$ Jenny can make up to 100 calls before she goes over budget!

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