Exponential Growth & Logarithmic Skills Challenge

Quiz
•
English, Mathematics
•
10th Grade
•
Hard
Standards-aligned
Anthony Clark
FREE Resource
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?
2000
4000
10000
8000
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?
$8,000.75
$10,440.13
$12,500.50
$15,000.00
3.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
A certain radioactive substance has a half-life of 5 years. If you start with 80 grams, how much will remain after 15 years?
10 grams
5 grams
40 grams
20 grams
Tags
CCSS.HSF.LE.A.4
4.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
The formula for the amount of money A in an account after t years with principal P and interest rate r compounded continuously is A = Pe^(rt). If you invest $1,000 at an annual interest rate of 5%, how much will you have after 10 years?
2000.00
1500.00
1200.50
1648.72
5.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
If the population of a city is modeled by the function P(t) = 50,000e^(0.02t), where t is the number of years since 2000, what will the population be in 2025?
100000
82435
90000
75000
6.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
Using the properties of logarithms, simplify log_2(32) + log_2(4). What is the result?
10
3
5
7
7.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
A certain investment grows according to the model A(t) = 2000(1.07)^t. How long will it take for the investment to reach $4,000?
10.24 years
8.5 years
15 years
5 years
Tags
CCSS.HSF.LE.A.4
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