Question 1(Multiple Choice Worth 1 points)
(03.02 MC)
The average annual salary of the employees of a company in the year 2005 was $80,000. It increased by the same factor each year, and in 2006, the average annual salary was $88,000. Let y represent the average annual salary, in thousand dollars, after x years since 2005. Which of the following best represents the relationship between x and y?
y = 88(0.88)x
y = 88(1.1)x
y = 80(0.88)x
y = 80(1.1)x
Question 2(Multiple Choice Worth 1 points)
(03.02 MC)
The price of bronze has increased by 10% per year from 2000. In the year 2000, Harry bought a bronze medal for $120. Which of the following equations can be used to represent the price of the medal x years after 2000?
y = 120(0.9)x
y = 10(120)x
y = 120(1.1)x
y = 10(1.1)x
Question 3(Multiple Choice Worth 1 points)
(03.02 MC)
Due to conservation efforts, the gray wolf has been removed from the endangered species list. There are now 25,000 in the world, and the population is expected to grow by 15% yearly. Write an equation that models this scenario.
y = 25,000(1.85)x
y = 25,000(0.15)x
y = 25,000(0.85)x
y = 25,000(1.15)x
Question 4(Multiple Choice Worth 1 points)
(03.02 MC)
Because of the rainy season, the depth in a pond increases 3% each week. Before the rainy season started, the pond was 10 feet deep. What is the equation that best represents the depth of the pond each week?
Hint: Use the formula y = P(1 + r)x.
y = 10(0.03)x
y = 10(0.3)x
y = 10(1.3)x
y = 10(1.03)x
Question 5(Multiple Choice Worth 1 points)
(03.02 MC)
Initially, there were only 197 weeds at a park. The weeds grew at a rate of 25% each week. The following function represents the weekly weed growth: f(x) = 197(1.25)x. Rewrite the function to show how quickly the weeds grow each day and calculate this rate as a percentage.
f(x) = 197(1.25)7x; grows at a rate of approximately 2.5% daily
f(x) = 197(1.257)x; grows at a rate of approximately 4.77% daily
f(x) = 197(1.03)x; grows at a rate of approximately 0.3% daily
f(x) = 197(1.03)7x; grows at a rate of approximately 3% daily
Question 6(Multiple Choice Worth 1 points)
(03.02 MC)
To pay for a home improvement project that totals $16,000, Genesis is choosing between taking out a simple interest bank loan at 8% for 3 years or paying with a credit card that compounds monthly at an annual rate of 15% for 7 years. Which plan would give Genesis the lowest monthly payment?
The monthly credit card payment would be $511.11, which is lower than the monthly payment on the bank loan.
The monthly payment on a bank loan would be $480, which is lower than the monthly credit card payment.
The monthly payment on a bank loan would be $551.11, which is lower than the monthly credit card payment.
The monthly credit card payment would be $540.78, which is lower than the monthly payment on the bank loan.
Question 7(Multiple Choice Worth 1 points)
(03.02 LC)
Which of the following options is an equivalent function to f(x) = 2(5)2x?
f(x) = 50x
f(x) = 100x
f(x) = 2(25)x
f(x) = 4(25)x
Question 8(Multiple Choice Worth 1 points)
(03.02 MC)
Darren is purchasing a car that costs $12,000. He is taking out a simple interest loan at an annual rate of 3%. If he makes monthly payments over a period of 3 years, how much is his monthly payment?
$363.33
$349.12
$333.33
$296.13
Question 9(Multiple Choice Worth 1 points)
(03.02 LC)
Rewrite the function f of x equals 7 times one half to the 3 times x power using the properties of exponents.
f of x equals 7 times three sixths to the x power
f of x equals 7 times one eighth to the x power
f of x equals 21 times three sixths to the x power
f of x equals 343 times one eighth to the x power
Question 10(Multiple Choice Worth 1 points)
(03.02 LC)
The function below represents the annual interest Charlotte earns on a savings account. Identify the term that represents the interest rate.
f(x) = 1,000(1 + 0.04)x
1,000
1
0.04
x
answer each question seperately
1. y = 80(1.1)x
2. y = 120(1.1)x
3. y = 25,000(1.15)x
4. y = 10(1.03)x
5. f(x) = 197(1.25)x; grows at a rate of approximately 2.5% daily
6. The monthly credit card payment would be $511.11, which is lower than the monthly payment on the bank loan.
7. f(x) = 2(25)x
8. $349.12
9. f(x) = 21 times three sixths to the x power
10. 0.04
Initially, there were only 197 weeds at a park. The weeds grew at a rate of 25% each week. The following function represents the weekly weed growth: f(x) = 197(1.25)x. Rewrite the function to show how quickly the weeds grow each day and calculate this rate as a percentage.
f(x) = 197(1.25)7x; grows at a rate of approximately 2.5% daily
f(x) = 197(1.257)x; grows at a rate of approximately 4.77% daily
f(x) = 197(1.03)x; grows at a rate of approximately 0.3% daily
f(x) = 197(1.03)7x; grows at a rate of approximately 3% daily
The correct answer is: f(x) = 197(1.03)x; grows at a rate of approximately 3% daily.
Darren is purchasing a car that costs $12,000. He is taking out a simple interest loan at an annual rate of 3%. If he makes monthly payments over a period of 3 years, how much is his monthly payment?
$363.33
$349.12
$333.33
$296.13
To calculate the monthly payment, we can use the formula for calculating monthly loan payments using simple interest:
Monthly payment = Principal / (Number of months)
The principal (P) is $12,000 and the loan period is 3 years, which is equivalent to 36 months.
Plugging in these values:
Monthly payment = $12,000 / 36 = $333.33
So, Darren's monthly payment would be $333.33.
The function below represents the annual interest Alexander earns on a savings account. Identify the term that represents the amount of time that the money is accruing interest.
f(x) = 500(1 + 0.02)x
500
1
0.02
x