Quiz about Using exponential functions test corrections

Question 1

Simplify the expression using exponent rules: $$a^8b^4 imes\left(\frac{b^2}{a^6} ight)$$ .

Accepted Answer

$$a^{2}b^6$$

Answer

$$a^{14}b^2$$

Answer

$$a^{14}b^6$$

Answer

$$a^{2}b^2$$

Question 2

Write the function for the table and then predict the value of the motorcycle for the 5th year. The table shows the value in dollars of a motorcycle at the end of x years. $$\begin{array}{|c|c|} \hline ext{Number of Years, } x & ext{Value, } v(x) ext{ (dollars)} \ \hline 0 & 9,000 \ 1 & 8,100 \ 2 & 7,290 \ 3 & 6,561 \ \hline \end{array}$$

Accepted Answer

$5,904.90

Answer

$5,905

Answer

$5,900

Answer

$6,000

Question 3

Write a function for the situation: In the year 1900, the total number of metric tons of copper produced in the world was 495,000. Each year since 1900, the total number of metric tons of copper produced has increased on average by about 3.25% over the amount produced the previous year.

Accepted Answer

Write a function to calculate the copper production for any given year since 1900.

Answer

What was the total number of metric tons of copper produced in 1900?

Answer

By what percentage did the copper production increase each year since 1900?

Answer

What is the average annual increase in copper production since 1900?

Question 4

Ms. Speaks deposits $5000 in a Roth IRA account that earns 2.5% compound interest. What will be the value of the account after 5 years?

Accepted Answer

$5,641.14

Answer

$5,525.63

Answer

$5,655.08

Answer

$5,628.81

Question 5

Given the linear function. What is the value of f(2)? $$f(x) = \frac{1}{3}(9x + 27)$$

Accepted Answer

f(2) = 15

Answer

f(2) = 11

Answer

f(2) = 13

Answer

f(2) = 17

Question 6

What is the equation of the asymptote for the function $$f(x) = 2.3(1.4)^x$$ ?

Accepted Answer

y = 0

Answer

x = 0

Answer

y = 2.3

Answer

x = 2.3

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