Download Direct and Inverse Variation

Direct and Inverse Variation
Name: _______________________
1. The cost per person to rent a mountain cabin is inversely proportional to
the number of people who share the rent.
a. If the cost is $36 per person when 5 people share, what is the cost
per person when 8 people share?
b. What is the cost to rent the cabin?
c. How can the cost per person be expressed as a function of the number of people who share the
rent?
2. The amount of money earned on a job is directly proportional to the number of hours worked.
a. If $36 is earned for 8 hours of work, how much is earned for 30 hours of work?
b. How much does the job pay for each hour worked?
c. How can the amount of money earned be expressed as a function
of the number of hours worked?
3. The number of calories in a container of milk is directly proportional to the amount of milk in the
container.
a. If there are 160 calories in an 8-ounce glass of milk, find the number of
calories in a 15-ounce glass of milk.
b. How many calories are in each ounce of milk?
c. How can the number of calories be expressed as a function of the
number of ounces of milk?
4. For rectangles with the same area, the length varies inversely as the width.
a. One rectangle has a length of 12 cm and a width of 5 cm. Find the length of another rectangle
with the same area whose width is 4 cm.
b. What is the area of the two rectangles?
c. How can the length of the rectangle be expressed as a function of the width?
5. The current electrical circuit varies inversely as the amount of resistance in the circuit.
a. The current is 10 amps when the resistance is 24 ohms. Find the current
when the resistance is 30 ohms.
b. How much voltage is provided for the electrical circuit?
c. How can the current be expressed as a function of the resistance?
6. On certain map, 25 km are represented by 2 cm. If two cities are 7 cm apart on the map, what is the
actual distance between them?
a. Describe how the distance on the map is related to the actual
distance?
b. How can the actual distance be expressed as a function of the
distance on the map?