1. It costs $8 to go to a pottery studio. It costs an additional $2 for each piece you paint.
a. Complete the table.
b. Write an equation that shows the relationship between the number of pieces you paint, p, and the total cost, T.
2. For a Saturday show, a band receives $210 plus $7 for each ticket sold. Write an equation that shows the relationship between the number of tickets sold, t, and the total amount the band receives, P. (Hint: You may find it helpful to make a table that shows values of t and related values of P.)
3. Write an equation for the line in slope-intercept form.
4. Write an equation in slope-intercept form of the line.
5. Use the table to relate the independent variable x to the dependent variable y.
a. Describe the relationship in words.
b. Write an equation.
6. Suppose each side of a pentagon has length x. Let y be the perimeter of the pentagon. Use the table to relate the independent variable x to the dependent variable y.
a. Describe the relationship in words.
b. Write an equation.
7. At time x = 0, water begins to drip steadily out of a water tank. After 1 hour, there are 7.9 gallons of water in the tank. After 7 hours, 7.3 gallons remain. Write a linear function rule that models the number of gallons of water y left in the tank for any number of hours x.
8. Each month, your phone company charges you a fee of 5 cents per minute as well as a service fee of $6.95. Write a linear function rule that models the number of dollars y you pay each month for any number of minutes x.