Review Linear Equations Name: ______
Solve the following word problems:
1. Daniel sells magazine subscriptions and earns $4 for every new subscriber he signs up. Daniel also earns a $38 weekly bonus regardless of how many magazine subscriptions he sells. If Daniel wants to earn at least $91 this week, what is the minimum number of subscriptions he needs to sell?
2. You are sent to the store to buy sliced meat for a party. You are told to get ham and turkey, and you are given $30. Ham is $4.29/lb and turkey is $3.99/lb. Write an equation in standard form to relate the pounds of each kind of meat you could buy a the store with $30. If you buy 5 pounds of ham, how much turkey can you buy?
3. Kim and Cyndi are starting a business tutoring students in math.They rent an office for $400 per month and charge $40 per hour per student. If they have 15 students each for one hour per week how much profit do they make together in a month?(assume 4 weeks per month)
4. Glenna wants to rent a car for a trip to Key West for one week. She calls two car rental companies to get prices.Mr. Kotter’s Rentals rents a Cadillac Escalade for $99 for one week plus $0.11 per mile over 100 miles. Barbarino’s Rentals has the same vehicle for $75 per week and $0.15 per mile over 150 miles. If it is 432 miles to Key West, which company has the better deal?How many miles would Glenna drive before she would be spending the same amount at either company?
5. John is starting a roofing business. He will need to buy a truck and some supplies to get his business going.The truck costs $13000 used.He gets three jobs right away.And hires 2 workers to help him.The materials for all three jobs cost $3000.The jobs will each take a week not including Saturday and Sunday and he pays his workers $125 per day per worker. How much will he have to charge for each job in order to break even at the end of the third job?
6. Antonio loves to go to the movies. He goes both at night and during the day. The cost of a matinee is $6.00. The cost of an evening show is $8.00. If Antonio went to see seven evening shows and spent $86.00, how many matinees did he attend?
7. A salesperson earns a $200 per week plus one-fifth of his sales for the week (in dollars). How much did the salesman sellif he earned $785 for the week?
8. Suppose you receive $100 for a graduation present, and you deposit it in a savings account. Then each week thereafter, you add $5 to the account but no interest is earned. The amount in the account is a function of the number of weeks that have passed. How many weeks have passed if you have $310 in your account now?
9. John and Nancy go to two different amusement parks. Nancy is charged a 6 dollar entry fee, and 50 cent per ride. John is charged an entry fee of $10, and pays 25 cent per ride. How many rides must each ride for them to spend the same amount?