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)
To pay for a home improvement project that totals $11,000, Genesis is choosing between taking out a simple interest bank loan at 6% for 3 years or paying with a credit card that compounds monthly at an annual rate of 16% for 6 years. Which plan would give Genesis the lowest monthly payment?
The monthly credit card payment would be $396.49, which is lower than the monthly payment on the bank loan.
The monthly payment on a bank loan would be $360.56, which is lower than the monthly credit card payment.
The monthly credit card payment would be $354.44, which is lower than the monthly payment on the bank loan.
The monthly payment on a bank loan would be $323.89, which is lower than the monthly credit card payment.
Question 3(Multiple Choice Worth 1 points)
(03.02 LC)
The function below represents the annual interest Victoria earns on a savings account. Identify the term that represents the amount of money originally deposited in the account.
f(x) = 300(1 + 0.03)x
300
1
0.03
x
Question 4(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 5(Multiple Choice Worth 1 points)
(03.02 MC)
Due to conservation efforts, the panda bear has been removed from the endangered species list. There are now 15,000 in the world, and the population is expected to grow by 10% yearly. Write an equation that models this scenario.
y = 15,000(1.10)x
y = 15,000(0.90)x
y = 15,000(0.10)x
y = 15,000(1.90)x
Question 6(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 7(Multiple Choice Worth 1 points)
(03.02 LC)
Rewrite the function f of x equals 6 times one fourth to the 2 times x power using properties of exponents.
f of x equals 36 times one fourth to the x power
f of x equals 36 times one sixteenth to the x power
f of x equals 6 times one sixteenth to the x power
f of x equals 6 times two eighths to the x power
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 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 10(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
1 answer
2 answers