Linear Equation Word Problems with Graphing Name:______
Unit 1- AC CCGPS Alg/Geo
1. A painter charges a service fee of $25 in addition to $15 per hour. Write an equation and graph it below. Using your equation, how much money would it cost to have the painter at your house for 11.5 hours?
2. Sarah started with 120 songs on her i-Pod and adds 5 songs a week. Write an equation and graph it below. Using your equation, how many songs would she have after 15 weeks?
3. Ryan works at Starbucks and makes $8.35 per hour. Write an equation and graph it below. How much money will he make after 11.25 hours?
4. 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) Graph your equation below.
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. 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?
7. Cellular phone companies often package their products to make them more attractive to potential users. If you average 356 minutes per month in talk time, which package is the better deal?
Package A includes a free phone and 300 minutes. It will cost 0.12 per minute for each minute over the plan time.Package A has a base rate of $39.95.
Package B has a phone that costs $10 and has 350 minutes of time and 0.08 per minute for each minute over the plan time. Package B has a base rate of $35.95 not including the phone.