Logarithmic Word Problems and Percentages in Real Life

Quiz
•
English, Mathematics
•
8th Grade
•
Easy
Standards-aligned
Anthony Clark
Used 1+ times
FREE Resource
9 questions
Show all answers
1.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
A scientist measures the pH level of a solution, which is given by the formula pH = -log[H+]. If the concentration of hydrogen ions [H+] is 0.001 M, what is the pH of the solution?
10
1
7
3
2.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
A sound engineer records a sound that is 90 decibels. If the sound intensity is increased by 10 decibels, what is the new intensity level in terms of logarithmic scale?
110 decibels
100 decibels
80 decibels
95 decibels
3.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
A population of bacteria doubles every hour. If there are initially 100 bacteria, how many hours will it take for the population to reach 800? Use logarithms to find your answer.
5 hours
3 hours
4 hours
2 hours
Tags
CCSS.HSF.LE.A.4
4.
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 double? Use logarithms to solve the problem.
20 years
5 years
Approximately 14.2 years
10 years
Tags
CCSS.HSF.LE.A.4
5.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
A recipe calls for 2 cups of sugar, which is 25% of the total ingredients. How many cups of ingredients are needed in total? Use percentages to find the answer and express it in logarithmic terms.
log(6)
log(4)
log(8)
log(10)
Tags
CCSS.HSF.BF.B.5
6.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
A radio station broadcasts at a frequency of 100 MHz. If the frequency is increased to 200 MHz, what is the logarithmic increase in frequency?
0.6021
0.3010
0.2000
0.4771
7.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
A tree grows at a rate that can be modeled by the equation h(t) = 10 log(t + 1), where h is the height in meters and t is the time in years. What will be the height of the tree after 5 years?
5.000 meters
7.781 meters
15.500 meters
10.000 meters
8.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
A student scores 85% on a test, which is equivalent to a logarithmic score of log(85). If the student wants to improve their score to 95%, what is the logarithmic increase needed?
log(10)
log(85)
log(95)
log(95/85)
9.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
A city has a population of 1 million people. If the population grows at a rate of 3% per year, how long will it take for the population to reach 2 million? Use logarithms to calculate the time required.
23.1 years
15 years
10 years
30 years
Tags
CCSS.HSF.LE.A.4
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