Jackson has a points card for a movie theater. He receives 85 rewards points just for signing up. • He earns 6.5 points for each visit to the movie theater. • He needs 176 points for a free movie ticket.

Jackson has a points card for a movie theater. He receives 85 rewards points just for signing up. • He earns 6.5 points for each visit to the movie theater. • He needs 176 points for a free movie ticket.

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018

18th Edition

ISBN:9780079039897

Author:Carter

Publisher:Carter

Chapter0: Preparing For Algebra

Section0.6: The Percent Proportion

Problem 28E

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Question

Jackson has a points card for a movie theater.
• He receives 85 rewards points just for signing up.
He earns 6.5 points for each visit to the movie theater.
• He needs 176 points for a free movie ticket.
How many visits must Jackson make to earn a free movie ticket?
Answer:
visits
Submit Answer
B2043
#3
24
4.
7
e
w/

Expert Solution

Step 1

Given data:

The given rewards points for signing up is R=85.

The number of points earned for each visit to the movie theater is m=6.5.

The total points needed for a free movie ticket is F=176 points.

The expression for the total points for a free movie ticket is,

$F = R + x (m)$

Here, x is the number of visits to the movie theater.

Substitute the given values in the above expression.

$\begin{array}{rcl} 176 & = & 85 + x (6.5) \\ 6.5 x & = & 91 \\ x & = & 14 \end{array}$

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