Mathematics, 25.03.2021 19:30 andrewmena05
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
Answers: 2
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1. A student grew crystals for science class. This table gives the height of the largest crystal eve...
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