Applications of Exponential and Logarithmic Functions

Applications of Exponential and Logarithmic Functions

9th - 12th Grade

20 Qs

quiz-placeholder

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Applications of Exponential and Logarithmic Functions

Applications of Exponential and Logarithmic Functions

Assessment

Quiz

Mathematics

9th - 12th Grade

Easy

Created by

Earl John Pascual

Used 2+ times

FREE Resource

20 questions

Show all answers

1.

MULTIPLE CHOICE QUESTION

5 mins • 1 pt

Suppose a culture of bacteria begins with 5000 cells and dies by 30% each year. Write an equation that represents this situation.

y = 5000(130100)ty\ =\ 5000\left(1-\frac{30}{100}\right)^t

y = 5000(1+30100)ty\ =\ 5000\left(1+\frac{30}{100}\right)^t

y = 30(15000100)ty\ =\ 30\left(1-\frac{5000}{100}\right)^t

y = 30(1+5000100)ty\ =\ 30\left(1+\frac{5000}{100}\right)^t

2.

MULTIPLE CHOICE QUESTION

5 mins • 1 pt

Write an equation that models the following situation:

Samantha's hair was known to grow very rapidly. It began at a length of 6 in and grew at a rate of 14% a week.

(HINT: Write out the equation on a separate piece of paper and then simplify inside the parenthesis)

y=6(0.14)x

y=6(1+14)x

y=6(1.14)x

y=6(0.86)x

3.

MULTIPLE CHOICE QUESTION

5 mins • 1 pt

You buy a new computer for $2100. The computer decreases by 50% annually. Which function represents the situation?

 y = 2100(150100)ty\ =\ 2100\left(1-\frac{50}{100}\right)^t  

 y = 2100(1+50100)ty\ =\ 2100\left(1+\frac{50}{100}\right)^t  

 y = 50(12100100)ty\ =\ 50\left(1-\frac{2100}{100}\right)^t  

 y = 50(1+2100100)ty\ =\ 50\left(1+\frac{2100}{100}\right)^t  

4.

MULTIPLE CHOICE QUESTION

15 mins • 1 pt

You have inherited land that was purchased for $30,000 in 1960. The value of the land increased by approximately 5% per year. Write an equation to represent the situation:

f(x) = 30,000(1 + 0.05)tf\left(x\right)\ =\ 30,000\left(1\ +\ 0.05\right)^t

f(x) = 30,000(1 0.05)tf\left(x\right)\ =\ 30,000\left(1\ -\ 0.05\right)^t

5.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

Which exponential function is used to represent a word problem that is decreasing over time?

A = P(1+%100)t\ A\ =\ P\left(1+\frac{\%}{100}\right)^t

A = P(1%100)t\ A\ =\ P\left(1-\frac{\%}{100}\right)^t

6.

MULTIPLE CHOICE QUESTION

3 mins • 1 pt

You invested $400 into an account with 7.5% interest rate compounded monthly. Which equation can be used to calculate how much you will have in 7 years?

f(x) = 7.5(1+400100)7f\left(x\right)\ =\ 7.5\left(1+\frac{400}{100}\right)^7

f(x) = 400(1+7100)7.5f\left(x\right)\ =\ 400\left(1+\frac{7}{100}\right)^{7.5}

f(x) = 400(1+7.5100)7f\left(x\right)\ =\ 400\left(1+\frac{7.5}{100}\right)^7

f(x) = 7(1+7.5100)400f\left(x\right)\ =\ 7\left(1+\frac{7.5}{100}\right)^{400}

7.

MULTIPLE CHOICE QUESTION

2 mins • 1 pt

What is the balance of $6000 compounded annually at a rate of 4% for 10 years? 

Use the function below: 6000(1+4100)106000\left(1+\frac{4}{100}\right)^{10}  

$8,881.47

$7,432.93

$8,400

$6,500

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