Exponential Growth & Logarithmic Equations: Grade 10 Quiz
Authored by Anthony Clark
English, Mathematics
10th Grade
CCSS covered
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10 questions
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1.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
A population of bacteria doubles every 3 hours. If there are initially 500 bacteria, how many will there be after 12 hours?
4000
8000
10000
2000
Tags
CCSS.HSF.LE.A.4
2.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
The value of a car decreases exponentially. If a car is worth $20,000 and loses 15% of its value each year, what will its value be after 4 years?
10440.13
12000.50
8500.75
15000.00
3.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
A certain investment grows exponentially at a rate of 5% per year. If you invest $1,000, how much will it be worth after 10 years?
2000.00
1500.00
1628.89
1200.50
4.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
The half-life of a radioactive substance is 5 years. If you start with 80 grams, how much will remain after 15 years?
10 grams
40 grams
20 grams
5 grams
Tags
CCSS.HSF.LE.A.4
5.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
A certain species of fish in a lake is modeled by the function P(t) = 200e^(0.3t), where P is the population and t is time in years. What is the population after 5 years?
500
1200
750
896
6.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
A bank offers an account that compounds interest continuously at a rate of 4%. If you deposit $2,000, how much will you have after 3 years?
2400.00
2255.00
2100.00
2005.00
7.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
The formula for the amount of a substance remaining after t years is A(t) = A_0 * (1/2)^(t/h), where A_0 is the initial amount and h is the half-life. If the half-life is 10 years and you start with 160 grams, how much will remain after 20 years?
20 grams
80 grams
40 grams
100 grams
Tags
CCSS.HSF.LE.A.4
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