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Chapter 2: Q14. (page 113)

Once a week, you either rent a movie for \(4 or see a movie in a theatre for \)9. Let r represent the number of movies you rent in a year. Write and simplify an expression in terms of r for the total amount you spend on movies during the year?

Short Answer

Expert verified

The total amount spent on movies in a year is 468-5r.

Step by step solution

01

– Given information.

The movies cost$4each on rent and$9each when watched in theatres,

1 year equals 52 weeks.

02

– Consider the variable.

Let,rrepresent the number of movies that were rented in a year,

Ifr be the movies rented in a year, then the number of movies watched in theatres are 52-r.

03

– Write the expression.

Total cost of renting is $4\timesrand cost of watching in theatre is $9×52-r,

The expression for the total amount spent on movies during the year can be derived as in below.

Since,

Total cost = cost of rent + cost of watching in theatre.

4r+9(52−r)=4r+468−9r[distributiveproperty]=4−9r+468[groupliketerms]=468−5r[subtract]

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