1/10 Comparing Linear, Exponential, and Quadratic Functions

Monica did an experiment to compare two method of warming an object. The results are shown in the table above. Which statement best describes her results?

• The temperature using both methods changed at a constant rate.

• The temperature using both methods changed at an exponential rate.

• The temperature using Method 2 changed at a constant rate.

• The temperature using Method 2 changed at an exponential rate.

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CCSS.HSF-LE.A.1A

Monica did an experiment to compare two method of warming an object. The results are shown in the table above. Over time, which method will exceed the other? How do you know this?

• Method 2 because linear growth always beats exponential growth over time.

• Method 1 because linear growth always beats exponential growth over time.

• Method 2 because exponential growth always beats linear growth over time.

• Method 1 because exponential growth always beats linear growth over time.

Which student's number pattern is linear?

• Ashley

• Hector

• Jamal

• Karina

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CCSS.HSF.BF.A.2

• A

• B

• C

• D

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CCSS.8.F.A.2

CCSS.HSF.IF.C.9

Kay is knitting blankets for the residents of a local nursing home. She already has 6 blankets completed. After one week, Kay has 8 blankets. After two weeks, Kay has 10 blankets. Kay's scenario is best represented by a _______________ function.

• Linear

• Quadratic

• Exponential

• None of the above

Tags

CCSS.8.F.A.3

In the first year of an annual 5K run there were 120 participants. In the 2nd and 3rd year of the 5K run, there were 180 and 270 participants respectively. This situation is best modeled by a(n) ________________ function.

• Linear

• Quadratic

• Exponential

• None of the above

In the first year of the annual Aardvark 5K run there were 120 participants. In the 2nd and 3rd year of the 5K run, there were 180 and 270 participants respectively.

A different run, the Badger 5K, can model their number of runners after x years by the function y = 800 + 50x.

Which 5K will eventually exceed the other in number of runners over time?

• Aardvark

• Badger

• Neither

Tags

CCSS.8.F.A.2

CCSS.HSF.IF.C.9

In the first year of the annual Aardvark 5K run there were 120 participants. In the 2nd and 3rd year of the 5K run, there were 180 and 270 participants respectively.

A different run, the Badger 5K, can model their number of runners after x years by the function y = 1067 + 50x.

Which 5K will eventually exceed the other in number of runners over time?

• Aardvark

• Badger

• Neither

Tags

CCSS.8.F.A.2

CCSS.HSF.IF.C.9

In the first year of the annual Aardvark 5K run there were 120 participants. In the 2nd and 3rd year of the 5K run, there were 180 and 270 participants respectively.

A different run, the Badger 5K, can model their number of runners after x years by the function y = 1067 + 50x.

After how many years will they have the same number of runners?

• 3

• 4

• 5

• 6

• 7

Tags

CCSS.8.EE.C.8C

• Kay

• Jay

• They will have knitted the same number.

Tags

CCSS.8.F.A.2

CCSS.HSF.IF.C.9