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3 years ago

Letter A company charges a flat rate of $129 (yearly) for AP and $7.99 for each HD movie rental.

Mathematics

1 answer:

Arada [10]3 years ago

5 0

c) You must rent 5 movies from each company to have equal bills.

d) The dollar amount would be $168.95 when the bills are equal which can be determined by putting x=5 in both function.

Step-by-step explanation:

Given,

Yearly charges of Letter A = $129

Per movie rent = $7.99

Let,

x be the number of rental movies.

A(x) = Yearly charges + Per movie rent*Number of movies rented

A(x) = 129 + 7.99x

Yearly charges of YR = $144

Per movie rent = $4.99

Y(x) = 144+4.99x

c) Solve the system of equations to determine how many movies you must rent from each company to have equal bills.

For equal bills;

A(x) = Y(x)

$129+7.99x=144+4.99x\\7.99x-4.99x=144-129\\3x=15$

Dividing both sides by 3

$\frac{3x}{3}=\frac{15}{3}\\x=5$

You must rent 5 movies from each company to have equal bills.

d) What would be the dollar amount when the bills are equal? How did you get that answer?

We will use x=5 to check the dollar amount.

$A(5)=129+7.99(5)\\A(5)=129+39.95\\A(5)=168.95$

$Y(5) = 144+4.99(5)\\Y(5) = 144+24.95\\Y(5) = 168.95$

The dollar amount would be $168.95 when the bills are equal which can be determined by putting x=5 in both function.

Keywords: functions, addition

Learn more about functions at:

#LearnwithBrainly

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