Exponential and Linear Growth

Identify the equation that best models the growth of Species X

Does the table show an exponential function pattern?

• Yes, there is a constant factor of 3

• Yes, there is a constant factor of 4

• No, it is linear there is a constant rate of change of 4

• No, there is no pattern

Does the table show an exponential function pattern?

• Yes, there is a constant factor of 2

• Yes, there is a constant factor of -2

• No, it is linear there is a constant rate of change of 2

• No, there is no pattern

The function shows the growth of a fruit fly population. f(t) is the number of fruit flies after t days.

What is the initial population of the fruit flies?

Which equation best matches the graph?

• y=2(2)^x

• y=(1/2)^x

The number of stores opened by a coffee company can be modeled by the exponential function graphed on the grid, where x is the number of years since 1992. Based on the graph, which statement does NOT appear to be true?

• The coffee company had opened 400 stores by the end of 1992.

• The coffee company opened 100 stores in one year.

• Every year the number of stores the coffee company opened increased by 25%.

• Since 1992 the coffee company has opened 250 stores each year.

Choose the correct graph for the situation for problem #4.

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Which of the following functions shows an initial amount of $15 and an increase of 35% each year?

• y = 15(35)^x

• y = 15(1.35)^x

• y = 15(0.35)^x

• y = 35(1.15)^x

Write an equation that models the following situation:
Samantha's hair was known to grow very rapidly. It began at a length of 6 in and grew at a rate of 14% a week.

• y=6(0.14)^x

• y=6(1+14)^x

• y=6(1.14)^x

• y=6(0.86)^x

The number of stores opened by a coffee company can be modeled by the exponential function graphed on the grid, where x is the number of years since 1992. Based on the graph, which statement does NOT appear to be true?

• The coffee company had opened 400 stores by the end of 1992.

• The coffee company opened 100 stores in one year.

• Every year the number of stores the coffee company opened increased by 25%.

• Since 1992 the coffee company has opened 250 stores each year.