Linear and Exponential Growth vs. Decay

Carolina is mowing lawns for a summer job. For every mowing job, she charges an initial fee plus $6 for each hour of work.

Which kind of function best modelsthe relationship between the fee and number of hours?

• Linear growth

• Linear decay

• Exponential growth

• Exponential decay

Tags

CCSS.HSF.BF.A.1

CCSS.HSF.LE.A.1

CCSS.HSF.LE.A.2

Yak Travel Agency arranges trips for climbing Mount Everest. For each trip, they charge an initial fee in addition to $0.15 for each vertical meter climbed.

Which kind of function best models the relationship between the fee and vertical distance?

• Linear growth

• Linear decay

• Exponential growth

• Exponential decay

Tags

CCSS.HSF.LE.A.1

Noa drove from the Dead Sea up to Jerusalem. Her altitude increased at a constant rate of 740 meters per hour.

Which kind of function best models the relationship between the altitude and number of hours?

• Linear growth

• Linear decay

• Exponential growth

• Exponential decay

Tags

CCSS.HSF.LE.A.1

A charity organization had to sell a few tickets to their fundraiser just to cover necessary production costs. They sold each ticket for $70.

Which kind of function best models the relationship between the net profit and number of tickets sold?

• Linear growth

• Linear decay

• Exponential growth

• Exponential decay

Tags

CCSS.HSF.LE.A.1

CCSS.HSF.LE.A.3

A young sumo wrestler decided to go on a special high-protein diet to gain weight rapidly. He gained weight at a rate of 5.5 kilograms per month.

Which kind of function best models the relationship between the weight and number of months?

• Linear growth

• Linear decay

• Exponential growth

• Exponential decay

Tags

CCSS.HSF.LE.A.1

Rachel is a stunt driver. One time, during a gig where she escaped from a building about to explode(!), she drove to get to the safe zone at 24 meters per second.

Which kind of function best models the relationship between the distance from the safe zone and number of seconds?

• Linear growth

• Linear decay

• Exponential growth

• Exponential decay

Tags

CCSS.HSF.LE.A.1

Hiro painted his room. After 3 hours of painting at a rate of 8 square meters per hour, he had 28 square meters left to paint.

Which kind of function best models the relationship between the area left to paint and number of hours?

• Linear growth

• Linear decay

• Exponential growth

• Exponential decay

Tags

CCSS.HSA.CED.A.1

CCSS.HSF.LE.A.1

CCSS.HSF.LE.A.2

A lake near the Arctic Circle is covered by a thick sheet of ice during the cold winter months. When spring arrives, the warm air gradually melts the ice, causing its thickness to decrease at a rate of 0.2 meters per week.

Which kind of function best models the relationship between the ice sheet's thickness and number of weeks?

• Linear growth

• Linear decay

• Exponential growth

• Exponential decay

Tags

CCSS.HSF.LE.A.1

Mr. Mole left his burrow that lies below the ground and started digging his way at a constant rate deeper into the ground. After 5 minutes of descending at a rate of 1.8 meters per minute, he was 13.5 meters below the ground.

Which kind of function best models the relationship between the altitude relative to the ground and number of minutes?

• Linear growth

• Linear decay

• Exponential growth

• Exponential decay

Tags

CCSS.HSA.CED.A.1

CCSS.HSA.CED.A.2

CCSS.HSF.LE.A.1

Naoya read a book cover to cover in a single session, at a rate of 55 pages per hour.

Which kind of function best models the relationship between the number of pages left and number of hours?

• Linear growth

• Linear decay

• Exponential growth

• Exponential decay

Tags

CCSS.HSA.CED.A.1

CCSS.HSF.BF.A.1

CCSS.HSF.LE.A.1