Mastering Exponential Equations: Word Problems & Logs
Quiz
•
English, Mathematics
•
9th Grade
•
Practice Problem
•
Hard
Standards-aligned
Anthony Clark
FREE Resource
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10 questions
Show all answers
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? Use an exponential equation to solve.
8000
10000
4000
6000
Tags
CCSS.HSF.LE.A.4
2.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
A car's value decreases by 20% each year. If the car is currently worth $15,000, how much will it be worth after 5 years? Set up an exponential equation and solve using logarithms.
10000.00
7500.50
4915.20
6000.00
3.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
A bank offers an interest rate of 5% compounded annually. If you invest $1,000, how long will it take for your investment to grow to $1,500? Use logarithms to find the answer.
10.24 years
12 years
15.5 years
8 years
Tags
CCSS.HSF.LE.A.4
4.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
A certain radioactive substance has a half-life of 10 years. If you start with 80 grams, how much will remain after 30 years? Formulate an exponential equation and solve it.
5 grams
40 grams
10 grams
20 grams
Tags
CCSS.HSF.LE.A.4
5.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
The number of users on a social media platform increases exponentially. If there are currently 1,000 users and the number triples every year, how many users will there be in 4 years? Solve the exponential equation to find the answer.
50000
81000
40000
30000
6.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
A certain species of fish in a lake is known to double in population every 2 years. If the current population is 200, what will the population be in 10 years? Use an exponential equation to solve.
6400
3200
12800
4000
7.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
A tree grows at a rate of 15% per year. If the tree is currently 2 meters tall, how tall will it be in 5 years? Set up and solve the exponential equation using logarithms.
4.02 meters
3.50 meters
5.00 meters
2.30 meters
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