Slope-Intercept Word Problemname:______

Slope-Intercept Word ProblemNAME:______

1. Jo mows lawns after school. She finds that she can use the equation

P(n) = 15n - 300 to calculate her profit. What are some possible meanings for the numbers 15 and -300 and for the variable n? List at least two for each.

1. A bamboo plant is 6 cm tall and growing at a rate of 4 cm/day. Write an equation to model this situation. How tall will it be after 14 days? When will the plant be 30 cm tall?

1. A hot air balloon descends 10 meters every 5 seconds. It starts 170 meters in the air. How long will it take for the balloon to hit the ground? Write an equation in slope-intercept form to model this situation. Will the balloon be on the ground after 1 minute?

1. A group of mountain climbers begin an expedition with 265 lb of food. They plan to eat a total of 15 lb of food each day. Write an equation in slope-intercept form relating the remaining food supply, r(d), to the number of days, d. The group plans to eat the last of their food the day their expedition ends. How many days will the expedition last?

1. There is a linear relationship between the air temperature outside an airplane and the plane’s altitude in meters. The temperature at sea level is 14.7 oC. The temperature drops 7 degrees for every 1000-meter increase in altitude. What will the temperature be when the plane reaches 2000 meters? How high will the plane be when the temperature outside is 0oC?
2. A music store is offering a coupon promotion on its CDs. The regular price for CDs is $14 per CD. With the coupon, customers are given $4 off the total purchase. Write the equation relating the total cost, C(n), and the number of CDs purchased, n. Find the total cost for a sale of 6 CDs.

1. A candle begin burning at time t = 0. Its original height is 12 in. After 30 min the height of the candle is 8 in. Draw a graph showing the change in the height of the candle. Write an equation that relates the height of a candle to the time it has been burning. After how many minutes after the candle is lit will it burn out?

1. When the Bryants leave town for a vacation, they put their dog Tyco in a kennel. The kennel charges $15 for a first-day flea bath and $5 per day. Write an equation in slope-intercept form relating the total charge, t(d), to the number of days, d. What is the total charge if the Bryants leave Tyco in the kennel for 7 days?

1. Manny has a part-time job as a waiter. He makes $45 each day plus tips. He has calculated that his average tip is 12% of the total amount his customers spend on food and beverages. Write an equation relating Manny’s daily income, I(c), to the amount his customers spend, c. What will Manny earn on a day that his customers spend $250.

1. Yoshi collected 100 pounds of cans to recycle last week. He plans to collect an additional 25 pounds per week from now on. Write an equation in slope-intercept form relating the amount of cans Yoshi recycles, A(t), to the number of weeks, t, he continues to collect cans. How many pounds of cans will Yoshi recycle if he collects cans for 12 weeks?