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Masteriza [31]
3 years ago
7

8. Oscar charges $25 for the first hour of tutoring and $15 for each additional hour or fraction of an hour. The rates that Lato

ya charges for x hours of tutoring are modeled with the function shown. 30x, 06. Who will charge more to tutor for 5.5 hours, Oscar or Latoya? How much more?​
Mathematics
1 answer:
exis [7]3 years ago
3 0

Answer:

a.  Oscar charges more to tutor for 5.5 hours than Latoya.

b. Oscar charges more by a difference of $1.00 for tutoring 5.5 hours.

Step-by-step explanation:

Charges by Oscar:

1st hour of tutoring = $25

Additional hour or fraction = $15

For tutoring for 5.5 hours, Oscar charges:

1st hour of tutoring = $25

4.5 hours of additional tutoring = $75 ($15 * 5)

Total charges = $100

Charges by Latoya:

= 30x, 0.6, where x = hours of tutoring

Total charges = 30 * 5.5 * 0.6 = $99

Therefore, Oscar charges more for tutoring 5.5 hours than Latoya by $1 ($100 - $99).

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Let us assume charge for a hardcover book = $ h

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So, we can setup an equation by using above statement.

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Barb sold 5 hardcover books and 7 paperbacks and made $58.

So, we can setup another equation by using above statement.

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Let us solve equation(1) and eqation (2) by elimination method.

Multiplying first equation by -5 and second equation by 4 and adding, we get

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Plugging p=4 in first equation.

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Subtracting 40 from both sides, we get

4h = 24.

Dividing both sides by 4, we get

4h/4 = 24/4

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