Comparing Linear & Exponential Functions

Is the table linear, exponential or neither?

• Linear
• Exponential
• Neither

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CCSS.HSF.LE.A.2

CCSS.HSF.IF.B.4

CCSS.HSF.LE.A.1

Is the table linear or exponential?

• Linear
• Exponential

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CCSS.8.F.A.3

What is the common ratio?

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CCSS.HSF.BF.A.2

What is the equation that represents the exponential function in the image below?

• y=3(½)^x
• y=3(2)^x
• y=(2)^x
• y=2(3)^x

Tags

CCSS.HSF.LE.A.2

Suppose a bacteria is introduced to two different solutions in separate petri dishes. The bacteria in the first solution grow at a rate modeled by the function G(t) = (1.40)^t. The bacteria in the second solution grow in accordance with the data displayed in the table.

Which statement best describes the growth rates exhibited within the two different solutions?

• The bacteria grow at the same rate in both solutions.

• The bacteria grow at a slower rate in the first solution.

• The bacteria grow at a faster rate in the first solution.

• The bacteria decay in the first solution and grow in the second solution.

Tags

CCSS.8.F.A.2

CCSS.HSF.IF.C.9

Leonard compared the cost of purchasing a gallon of gas at two different gas stations.

The function C(g) = 3.25 + 0.07x models the average cost of a gallon of gas at the first gas station after x months. The table below shows the average cost of a gallon of gas at the second gas station after different numbers of months.

Which statement is true?

• The first station had a higher initial price per gallon and increased at a greater amount per month than the second station.

• The second station had a higher initial price per gallon and increased at a greater amount per month than the first station.

• The first station had a higher initial price per gallon but increased at a smaller amount per month than the second station.

• The second station had a higher initial price per gallon but increased at a smaller amount per month than the first station.

Tags

CCSS.8.F.A.2

CCSS.HSF.IF.C.9

Jason invested money into two different accounts. He deposited $75 into the first account which earns 6% interest annually. The value of the second account after different amounts of time is shown in the table.

Which statement is true?

• Jason started with $4 less in the second account than the first account.

• Jason started with $5 less in the second account than the first account.

• Jason started with $4 more in the second account than the first account.

• Jason started with $5 more in the second account than the first account.

Tags

CCSS.8.F.A.2

CCSS.HSF.IF.C.9

The function C(m) = 0.55m + 3.75 models the cost to take an m mile-long taxi ride from Quick Cabs. The table shows the cost to take a cab different distances from Get You There Cabs.

Which statement is true about the two cab companies?

• Quick Cabs costs less per mile but has a higher fixed fee than Get You There Cabs.

• Quick Cabs costs more per mile but has a lower fixed fee than Get You There Cabs.

• Quick Cabs costs less per mile and has a lower fixed fee than Get You There Cabs.

• Quick Cabs costs more per mile and has a higher fixed fee than Get You There Cabs.

Tags

CCSS.8.F.A.2

CCSS.HSF.IF.C.9

What is the common difference?

(-1, 4), (0, -1), (1,-6), (2,-11)

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CCSS.HSF.BF.A.2

Which of the following intervals has the largest average rate of change?

• [13,14]
• [13, 17]
• [16, 17]
• [16, 19]

Tags

CCSS.8.F.B.4

CCSS.HSF.IF.B.6