Linear Equation ApplicationsName:

Period:

Use the VESI process to answer the following questions.

1)James is saving up for a new bike that costs $120. He already has $40 saved. If he saves $20 each month, how many months will it take him to have enough money to purchase the bike?

2)Cherrie repairs antique radios. For her labor, she charges $45 for the diagnostic analysis plus $25 per hour for the repairs. For one radio, she charged $132.50for her labor. How many hours did the repair take?

3)Robin contracts with a small business to provide human resource services. Her initial consultation fee is $525 and she provides services for $85 per hour after that. If a company required hours each month, what would their total cost be after 1 year?

4)If another company (from question #3) was charged $950, how many hours of services did they use?

5)Robert will help his uncle harvest hay this summer to earn money for tuition. His uncle will pay him $7.50 per hour plus a $500 bonus if he stays through to the end of the harvest. If Robert works 180 hours this summer, and stays through the end of the harvest, how much money will he earn?

6)If Robert (from question #5) needs $1665 for tuition, how many hours does he need to work if he stays through to the end of the harvest?

7)Mary plans to rent a small truck to move into her new house. The total rental charge will depend upon the number of miles she drives the truck. The rental company gives her the following table to estimate her costs. Use the table to write an equation for the cost in terms of the mileage.

miles driven / 10 / 25 / 30 / 80
cost ($) / 35.90 / 44.75 / 47.70 / 77.20

Use your equation to calculate the cost of renting the truck and driving 120 miles.

8)When flooding contaminated Sandi’s well, she arranged to have water delivered. The amount she was charged for various deliveries is shown below. Use the table to write an equation for the cost of the water in terms of the gallons delivered.

water (gallons) / 5 / 12 / 15 / 20
cost ($) / 19.75 / 26.40 / 29.25 / 34

How much is Sandi charged per gallon and how much is she charged for delivery?

9)What would it cost Sandi (from question #8) to have 1 gallon delivered?

10)Dave celebrated a business deal by taking some friends to dinner. Unfortunately he forgot his wallet and had to wash dishes to pay off the bill. The dinner cost $124, and the restaurant normally pays dish washers $8 per hour.

Write an equation that expresses the balance that Dave owes in terms of the hours he spent washing dishes.

How much will Dave owe after washing dishes for 5 hours?