97 points and brainiest
rewrite the function f of x equals 4 times one third to the 2 times x power using properties of exponents.
f of x equals 4 times one ninth to the x power
f of x equals 4 times two sixths to the x power
f of x equals 16 times one third to the x power
f of x equals 16 times one ninth to the x power
question 2(multiple choice worth 1 points)
(03.02 lc)
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
question 3(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 4(multiple choice worth 1 points)
(03.02 mc)
the function f(x) = 800(1.09)5x shows the growth due to interest that jim earns on an investment.
the steps to calculate an equivalent function are shown below:
[step 1] f(x) = 800(1.09)5x
[step 2] f(x) = 800(1.095)5x
[step 3] f(x) = 800(1.5386)5x
[step 4] f(x) = 800(1.5386)x
which of the following is the first incorrect step?
step 1
step 2
step 3
step 4
question 5(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 6(multiple choice worth 1 points)
(03.02 mc)
the average annual salary of the employees of a company in the year 2005 was $70,000. it increased by the same factor each year, and in 2006 the average annual salary was $82,000. 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 = 70(1.17)x
y = 82(1.17)x
y = 70(2.2)x
y = 82(2.2)x
question 7(multiple choice worth 1 points)
(03.02 mc)
the number of subscribers, y, to a magazine after t years is shown by the equation below:
y = 95(0.75)t
which conclusion is correct about the number of subscribers to the magazine?
it increased by 25% every year.
it decreased by 25% every year.
it increased by 75% every year.
it decreased by 75% every year.
question 8(multiple choice worth 1 points)
(03.02 mc)
a rumor that was told initially to three people is spreading at a rate of 5% each week. the following function represents the weekly spread of the rumor: f(x) = 3(1.05)x. rewrite the function to show how quickly the rumor spreads each day and calculate this rate as a percentage.
f(x) = 3(1.007)7x; spreads at a rate of approximately 0.7% daily
f(x) = 3(1.05)7x; spreads at a rate of approximately 0.5% daily
f(x) = 3(0.15)x; spreads at a rate of approximately 0.15% daily
f(x) = 3(1.007)x; spreads at a rate of approximately 0.07% daily
question 9(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 10(multiple choice worth 1 points)
(03.02 mc)
samantha puts an initial $500 into a savings account. the account has a 4% annual compound interest rate. what is the equation that best represents samantha's account?
hint: use the formula y = p(1 + r)x.
y = 500(1.4)x
y = 500(0.04)x
y = 500(1.04)x
y = 500(0.4)x