Name:______Date:______Period:______
Section 8.9-8.10 Day 2
Direct and Inverse Variation
Solve.
1. Miles traveled varies directly with gallons of gas. A car uses 8 gallons of gasoline to travel 290 miles. How much gasoline will the car use to travel 435 miles?
2. The time required to drive a given distance is inversely proportional to the speed. If it takes 7.5 hours to cover a distance at 84 km/h, how long will it take at 90 km/h?
3. Cost of cashews is directly proportional to the number of pounds purchased. If 4 pounds of cashews cost $7.60, how much will 2.5 pounds cost?
4. If a 24 g mass is 30 cm from the fulcrum of a lever, how far from the fulcrum must a 45 g mass be in order to balance the 24 g mass?
5. An employee’s wages are directly proportional to the time worked. If an employee earns $90 for 6 hours, how much will the employee earn for 11 hours?
6. The number of days needed to paint a house varies inversely as the number of people working on the job. It takes 36 hours for 4 people to finish the job. If 6 people worked together, how long would it them to finish the job?
7. The amount of interest earned on savings is directly proportional to the amount of money saved. If $104 interest is earned on $1300, how much interest will be earned on $1800 in the same period of time.
8. The winner of a race ran the distance in 45 seconds at an average speed of 9.6 m/s. The runner who came in last finished in 48 seconds. What was the last runner’s average speed?
Identify if direct or inverse variation.
9. d = 40t 10. m = 11. = rt 12.
(x1,y1) and (x2,y2) are ordered pairs of the same direct variation. Find each missing value.
13.x1 = 6, y1 = 514.x1 = 27, y1 = 72
x2 = 3, y2 = x2 = 24, y2 =
(x1,y1) and (x2,y2) are ordered pairs of the same inverse variation. Find each missing value.
15.x1 = 20, y1 = 716.x1 = 64, y1 =
x2 = 4, y2 = x2 =, y2 = 6