# 3.7E: Exercises


## Practice Makes Perfect

Solve Applications with Linear Inequalities

In the following exercises, solve.

##### Exercise $$\PageIndex{1}$$

Mona is planning her son’s birthday party and has a budget of $285. The Fun Zone charges$19 per child. How many children can she have at the party and stay within her budget?

15 children

##### Exercise $$\PageIndex{10}$$

Kimuyen needs to earn $4,150 per month in order to pay all her expenses. Her job pays her$3,475 per month plus 4% of her total sales. What is the minimum Kimuyen’s total sales must be in order for her to pay all her expenses?

##### Exercise $$\PageIndex{11}$$

Andre has been offered an entry-level job. The company offered him $48,000 per year plus 3.5% of his total sales. Andre knows that the average pay for this job is$62,000. What would Andre’s total sales need to be for his pay to be at least as high as the average pay for this job?

16 ccf

nine movies

## Everyday Math

##### Exercise $$\PageIndex{25}$$

Maximum Load on a Stage In 2014, a high school stage collapsed in Fullerton, California, when 250 students got on stage for the finale of a musical production. Two dozen students were injured. The stage could support a maximum of 12,750 pounds. If the average weight of a student is assumed to be 140 pounds, what is the maximum number of students who could safely be on the stage?

91 students

##### Exercise $$\PageIndex{26}$$

Maximum Weight on a Boat In 2004, a water taxi sank in Baltimore harbor and five people drowned. The water taxi had a maximum capacity of 3,500 pounds (25 people with average weight 140 pounds). The average weight of the 25 people on the water taxi when it sank was 168 pounds per person. What should the maximum number of people of this weight have been?

## Writing Exercises

##### Exercise $$\PageIndex{29}$$

Find your last month’s phone bill and the hourly salary you are paid at your job. (If you do not have a job, use the hourly salary you would realistically be paid if you had a job.) Calculate the number of hours of work it would take you to earn at least enough money to pay your phone bill by writing an appropriate inequality and then solving it.

##### Exercise $$\PageIndex{30}$$

Find out how many units you have left, after this term, to achieve your college goal and estimate the number of units you can take each term in college. Calculate the number of terms it will take you to achieve your college goal by writing an appropriate inequality and then solving it.

## Self Check

ⓐ After completing the exercises, use this checklist to evaluate your mastery of the objectives of this section.

ⓑ What does this checklist tell you about your mastery of this section? What steps will you take to improve?

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