
Exponential Evaluate
Authored by Anthony Clark
Mathematics
12th Grade
CCSS covered

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20 questions
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1.
MULTIPLE CHOICE QUESTION
1 min • 1 pt
A new car cost $15,000 to build in 2010. The company’s financial analysts expect costs to rise by 6% per year . The cost to build the car can be modeled by the function f (t) = 15,000 (1.06)t , where t is the number of years after 2010. How much will it cost the company to build the car in 2017?
$22,554.45
$19,678.32
$23,907.72
45,678.91
Answer explanation
t is the number of years after 2010. So, t=2017-2010
=7. So, the exponent is 7.
1.067 = 1.06^7 . Multiply by 15000.
2.
MULTIPLE CHOICE QUESTION
1 min • 1 pt
Evaluate the function for the given value: for
125
15625
25
30
Answer explanation
Follow order of operations. Exponents first.
f(2) indicates that x = 2
The exponent is 3x, so 3*2 = 6
The exponent is 6.
56 or 5^6
Tags
CCSS.HSF-IF.C.8B
3.
MULTIPLE CHOICE QUESTION
1 min • 1 pt
An investment of $8000 in a certain Certificate of Deposit (CD) doubles in value every seven years. The function that models the growth of this investment is f\left(x\right)=8000\left(2\right)^{\frac{x}{7}}, where x is the number of years. If the investor does not withdraw any money from this CD, how much money will be available for withdrawal after 28 years?
$128,000
$1,024,000
$112,000
$2,147,483,648,000
Answer explanation
x=28. So, the exponent is 28/7 = 4. The exponent is 4.
24 = 2^4 = 16. Multiply by 8000.
4.
MULTIPLE CHOICE QUESTION
1 min • 1 pt
A population of amoebas in a petri dish will triple in size every 20 minutes. At the start of an experiment the population is 800. The function
where x is the number of minutes models this population. What would be the population of amoebas after 80 minutes?
2400
278942752100
64800
9600
Answer explanation
x=80. So, the exponent is 80/20 = 4. The exponent is 4.
34 = 3^4 = 81. Multiply by 800.
Tags
CCSS.HSF.LE.A.2
5.
MULTIPLE CHOICE QUESTION
1 min • 1 pt
A petri dish contains 35 bacteria. The bacteria triple every hour. The function models the number of bacteria present. How many bacteria are present after 4 hours?
2835
105
420
121550625
Answer explanation
x is the 4.
So, the exponent is 4.
34 = 3^4 . Multiply by 35.
Tags
CCSS.HSF.LE.A.2
6.
MULTIPLE CHOICE QUESTION
1 min • 1 pt
Is the pictured graph growth, decay, or linear or none?
Exponential Growth
Exponential Decay
Linear
None
Tags
CCSS.HSF-IF.C.7E
7.
MULTIPLE CHOICE QUESTION
1 min • 1 pt
Is the graph exponential growth or decay?
Exponential growth
Exponential decay
Tags
CCSS.HSF-IF.C.7E
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