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enot [183]
3 years ago
13

A movie rental company offers two plans for its customers. The digital movie plan costs $3 per movie and no monthly fee. The DVD

plan costs $10 per month plus $0.50 per movie. If a person rents movies in a month, then the two options will cost the same at $ .
Mathematics
1 answer:
Karo-lina-s [1.5K]3 years ago
3 0
Make an algebraic expression for each plan.
For an instance, x represents the number of movies, and y represents the number of months
⇒ The expression for the digital movie plan is 3x
⇒ The expression for the DVD plan is 10y + 0.5x

A person rents movies in a month (that means the value of y equals 1), the expression of the DVD plan would be 10(1) + 0.5x = 10 + 0.5x

Find the value of x when the cost of both plan are the same
The two options will cost the same when the expression for digital movie is equal to the expression for DVD
the digital movie plan = the DVD plan
3x = 10 + 0.5x

Solve for x
3x - 0.5x = 10
2.5x = 10
x = 10/2.5
x = 4

The two options will cost the same, if the person rents 4 movies
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Discussion

By the Pythagorean theorem, the length of the third side (the hypotenuse) in the triangle with sides 4 and 6 is sqrt ( 4^2 + 6^2) = sqrt (52)

Applying Pythagoras to the left most triangle (sides, x and 6) gives:

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Thank you,

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