1. A student grew crystals for science class. This table gives the height of the largest crystal every day for 7 days. The table can be modeled using an exponential function. Days 2 4 6 8 10 12 14
Height (cm) 2.55 4.25 7.25 12.25 20.65 34.95 59.05
What function best represents the data?

y=1.5·1.3x

y=1.5·0.5x

y=0.59x

y=2.17+0.59x

2.
Belle deposited money into a savings account. This table gives the value of her account for the first 14 months after the initial deposit. The data can be modeled using an exponential function.

Years 2 4 6 8 10 12 14
Account value $106 $113 $119 $126 $135 $143 $152
Based on the data, which amount is closest to the value of the account 24 months after the initial deposit?

$180

$200

$240

$280

3.

What is the exponential regression equation for the data set?

yˆ=1.08·32.11x

yˆ=32.11·1.08x

yˆ=32.11·0.08x

yˆ=(1.08·32.11)x
x y
2 34
4 45
6 51
8 68
10 71
12 79
14 88

4.
yˆ=31314·1.06x estimates the population of a town x years after the year 1995.

What is the estimated population of the town in the year 2000?

33,193

39,533

41,905

44,420

5.
Item 5
A scientist recorded the amount of substance X present in an ongoing chemical reaction. This table gives the amount of substance X over the first 10 minutes. The data can be modeled using an exponential function.

Time (min) 2 4 6 8 10
Substance X (g) 15.6 13.2 11.8 11.1 10.2
Based on the data, which measurement is closest to the amount of substance Y that will be present after 20 minutes?

0 g

5.1 g

6.0 g

7.2 g