Quiz about Chapter 6 Review

Question 1

The table represents an exponential function. Which function would be best to use to determine future outputs?

Accepted Answer

$$y=ab^x$$

Answer

$$A=P\left(1\pm\frac{r}{n}\right)^{nt}$$

Answer

$$y=\left(1+r\right)^x$$

Answer

$$y=a\left(1-r\right)^x$$

Question 2

The value of a TV is $1500. It loses 14% of its value every year.

Estimate the value of the TV after 2 years. Which function would you use to solve this problem?

Accepted Answer

$$y=a\left(1-r\right)^x$$

Answer

$$A=P\left(1\pm\frac{r}{n}\right)^{nt}$$

Answer

$$y=ab^x$$

Answer

$$y=a\left(1+r\right)^x$$

Question 3

The value of a TV is $1500. It loses 14% of its value every year.

Estimate the value of the TV after 2 years. Which function would you use to solve this problem?

Accepted Answer

$$1500\left(1-.14\right)^2$$

Answer

$$1500\left(1+.14\right)^2$$

Answer

$$1500\left(1-.86\right)^2$$

Answer

$$1500\left(.14\right)^2$$

Question 4

The table shows the numbers y of views online video receives after being online for $$x$$ days. Which function would be best to use to predict future values of this function?

Accepted Answer

$$y=ab^x$$

Answer

$$A=P\left(1\pm\frac{r}{n}\right)^{nt}$$

Answer

$$y=\left(1-r\right)^x$$

Answer

$$y=\left(1+r\right)^x$$

Question 5

Which function would be best to use to represent the balance (in dollars) after t years. $2000 deposit that earns 5% annual interest compounded quarterly.

Accepted Answer

$$A=P\left(1\pm\frac{r}{n}\right)^{nt}$$

Answer

$$y=ab^t$$

Answer

$$y=a\left(1-r\right)^t$$

Answer

$$y=a\left(1+r\right)^t$$

Question 6

Write a function that represents the balance A (in dollars) after t years. $2000 deposit that earns 5% annual interest compounded quarterly.

Accepted Answer

$$A=2000\left(1.0125\right)^{4t}$$

Answer

$$A=2000\left(1.0215\right)^{4t}$$

Answer

$$A=2000\left(1.0125\right)^{12t}$$

Answer

$$A=2000\left(1.0125\right)^{3t}$$

Question 7

The inaugural attendance of an annual music festival is 150,000. The attendance y increases by 8% each year. Which function would best to use predict future attendance?

Accepted Answer

$$y=a\left(1+r\right)^x$$

Answer

$$A=P\left(1\pm\frac{r}{n}\right)^{nt}$$

Answer

$$y=ab^x$$

Answer

$$y=a\left(1-r\right)^x$$

Question 8

Which function would be best to use to solve future outputs of the table?

Accepted Answer

$$y=ab^x$$

Answer

$$A=P\left(1\pm r\right)^t$$

Answer

$$y=a\left(1-r\right)^t$$

Answer

$$y=a\left(1+r\right)^t$$

Question 9

The value of a car is $15,000. It loses 10% of its value every year. Which function would be best to use to solve the future value of the car?

Accepted Answer

$$y=a\left(1-r\right)^x$$

Answer

$$A=P\left(1\pm\frac{r}{n}\right)^t$$

Answer

$$y=ab^x$$

Answer

$$y=a\left(1+r\right)^x$$

Question 10

Your starting annual salary of $35,000 increases by 4% each year. Which function would be best used to solve for future values?

Accepted Answer

$$y=\left(1+r\right)^x$$

Answer

$$A=P\left(1\pm\frac{r}{n}\right)^{nt}$$

Answer

$$y=ab^x$$

Answer

$$y=a\left(1-r\right)^x$$

Chapter 6 Review

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