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WorksheetsChoosing a Model L22
Total questions: 10
Worksheet time: 41mins
Name
Class
Date
1.
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.
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.
a)
y=6(0.14)x
b)
y=6(1+14)x
c)
y=6(1.14)x
d)
y=6(0.86)x
2.
You want to invest $1000 into a bank. You choose the option that says you earn 8% simple interest annually. How much will you have in the bank after 10 years?
a)
$800
b)
$2159
c)
$1800
d)
$1756
3.
Is the equation linear, exponential or neither?
a)
Linear
b)
Exponential
c)
Neither
4.
What type of function is f(x)=2(1/7)x ?
a)
Exponential Growth
b)
Linear
c)
Exponential Decay
d)
None of the Abovee
5.
In the exponential function given below, identify the initial (starting) amount and the growth rate. y = 100(3)x
a)
The initial amount is 3 and it is growing by a rate of 100.
b)
The initial amount is 100 and it is growing at a rate of 3.
c)
It is not growing at all because this is not an exponential equation.
6.
Bacteria can multiply at an alarming rate when each bacteria splits into two new cells, thus doubling. If we start with only one bacteria which can double every hour, which equation can be used to represent the number of bacteria after x hours?
a)
y=x2
b)
y=1(2)x
c)
y=(1/2)x
d)
y=2(1)x
7.
The southern white rhinoceros reproduces roughly once every 3 years, giving birth to one calf each time. Suppose that a nature preserve houses 100 white rhinoceroses, 50 of which are female. Assume that half of the calves born are female and that females can reproduce as soon as they are 1 year old.
What type of a function should be used to model the population of female white rhinoceroses in the preserve?
What type of a function should be used to model the population of female white rhinoceroses in the preserve?
a)
Linear function
b)
Exponential function
c)
Quadratic function
d)
Cubic function
8.
The southern white rhinoceros reproduces roughly once every 3 years, giving birth to one calf each time. Suppose that a nature preserve houses 100 white rhinoceroses, 50 of which are female. Assume that half of the calves born are female and that females can reproduce as soon as they are 1 year old.
Assuming there is no death in the rhinoceros population, find a function to model the population of female white rhinoceroses in the preserve.
Assuming there is no death in the rhinoceros population, find a function to model the population of female white rhinoceroses in the preserve.
a)
R(t) = 50(.83)^t
b)
R(t) = 1.17(50)^t
c)
R(t) = 50(1.17)^t
d)
There is no function that fits this information
9.
Realistically, not all of the rhinoceroses survive each year, so we assume a 5% death rate of all rhinoceroses. Now what type of function should be used to model the population of female white rhinoceroses in the preserve.
a)
We should still use an exponential function, but the growth rate needs to be altered to take the death rate into acccount.
b)
We should use a linear equation to model this situation. The line will have a negative slope.
c)
We would use the same exponential function.
10.
What is the range of y=2x+1-3?
a)
(-∞,∞)
b)
(-3, ∞)
c)
(-1, ∞)
d)
(-∞, -3)
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