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91Ó°ÊÓ

Marlon’s TV plan costs\(49.99per month plus\)5.49per first-run movie. How many first-run movies can he watch if he wants to keep his monthly bill to be a maximum of $100?

Short Answer

Expert verified

Marlon can watch 9first-run movies if he wants to keep his monthly bill to be a maximum of$100.

Step by step solution

01

Step 1. Given information

The cost for per first-run movie is,$5.49.

The TV plan cost is,$49.99plus the cost of first run movie.

It is also mentioned that, The monthly bill to be a maximum of $100.

Let xbe the number of first run movies that Marlon can watch.

Let us create an equation by using the given information.

49.99+5.49x≤100

02

Step 2. Now simplify the obtained equation.

49.99+5.49x≤1005.49x≤100-49.995.49x≤50.01x≤50.015.49x≤9.10x≤9

03

Step 3. Let us check the answer.

49.99+5.49x≤10049.99+5.499≤10049.99+49.41≤10099.4≤100

which is true.

Therefore, Marlon can watch9first-run movies if he wants to keep his monthly bill to be a maximum of $100.

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