Algebra Ext 1 Name______

Worksheet 5.5D Period______

1. The math classroom is losing pencils at a rate of 3 pencils per day. After 14 days, the math classroom has 68 pencils.

a. Write the equation

b. How many pencils did the math classroom have after the first week?

c. When will the math classroom be out of pencils?

2. You want to rent a speedboat for your vacation on the lake. It costs $60 plus $30 per day. The linear model for this situation relates the total cost of renting a speedboat, y, with the number of days rented, x.

a. Write the equation.

b. What is the cost of renting the speedboat for 5 days?

c. If you had $180 to spend, how many days could you rent the boat?

3. A mountain climber is scaling a 630-foot cliff. The climber starts at the bottom of the cliff and climbs at a rate of 75 feet per hour. The linear model for this situation relates the height, y, with the number of hours climbed, x.

a. Write the equation.

b. After 6 hours has the climber reached the top?

c. How long will it take for the climber to reach the top?

4. From 1990 to 2000, a printer company had an increase in sales of one of its printers by 450 per year. In 1990 the company sold 10,000 printers. The linear model for this situation relates the number of printers, y, with the number of years since 1990, x.

a. Write the equation.

b. Predict the number of printers in 1995.

c. Predict the number of printers in 1998.

d. How many years did it take to sell 14,050 printers?

5. The cost of joining a pottery class is $50 for materials and $8.50 per class. The linear model for this situation relates the total cost of the pottery class, y, with the number of classes that you attend, x.

a. Write the equation.

b. Predict the cost of attending 7 classes.

c. How many classes could you attend if you budgeted $125?

4. From 1995 to 2003, you deposited $300 per year in your savings account. In 2000, you had $2100 in your account. The linear model for this situation relates the amount of savings, y, with the number of years, x, since 1995.

a. Write the equation of the line.

b. Predict the amount of money in your account in 2010.

c. When will you have $5100 in your account?