Algebra 2 Unit 11 Practice Test Name:

Size: px

Start display at page:

Download "Algebra 2 Unit 11 Practice Test Name:"

Adelia Hodge
5 years ago
Views:

1 Algebra 2 Unit 11 Practice Test Name: 1. A study of the annual population of the red-winged blackbird in Ft. Mill, South Carolina, shows the population,, can be represented by the function, where the t represents the number of years since the study began. In terms of the monthly rate of growth, the population of red-winged blackbirds can be best approximated by the function 2. Sean invests $10,000 at an annual rate of 5% compounded continuously, according to the formula A Pe rt, where A is the amount, P is the principal, r is the rate of interest, and t is time, in years. Determine, to the nearest dollar, the amount of money he will have after 2 years. Determine how many years, to the nearest year, it will take for his initial investment to double.

2 3. Jenny wants to buy a car by making payments of $120 per month for three years. The dealer tells her that she needs to put a down payment of $3,000 on the car in order to get a loan with those terms at a monthly interest rate of. 75% compounded monthly. 1 (1 + i) n A p = R ( ) i A p = present amount borrowed n = number of monthly payments R = monthly payment i = interest rate per month How much is the car that Jenny wants to buy?

3 4. The accompanying table shows the amount of water vapor, y, that will saturate 1 cubic meter of air at different temperatures, x. Write an exponential regression equation for this set of data, rounding all values to the nearest thousandth. Predict the amount of water vapor that will saturate 1 cubic meter of air at a temperature of 50 C, and round your answer to the nearest tenth of a gram. Find the amount air at a temperature when the amount of water vapor is at 70 grams and round your answer to the nearest degree.

4 5. The accompanying table shows wind speed and the corresponding wind chill factor when the air temperature is 10 o F. Write the logarithmic regression equation for this set of data, rounding coefficients to the nearest ten thousandth. Using this equation, find the wind chill factor, to the nearest degree, when the wind speed is 40 miles per hour. Based on your equation, if the wind chill factor is -20, what is the wind speed, to the nearest mile per hour?

5 6. Find the inverse of each of the following functions: a. f(x) = 3 x 1 b. f(x) = ln(x + 2) 5 7. The function f(t) represents a colony of bacteria over time, t, in years. (ln 1 4 )t f(t) = 1000e 200 Determine if the function f(t) represents growth or decay. Explain your reasoning. 8. Robert invests $800 into an account. He will make no deposits or withdrawals on this account for 3 years. After 3 years the account now has $844. Assuming exponential growth, approximate the annual growth rate of his investment, to the nearest tenth of a percent.

6 9. One of the medical uses of Iodine 131 (I 131), a radioactive isotope of iodine, is to enhance x-ray images. The halflife of I 131 is approximately 6.04 days. A patient is injected with 50 milligrams of I 131. Determine, to the nearest day, the amount of time needed before the amount of I 131 in the patient s body is approximately 5 milligrams. 10. Takaya invested $1000 at 6.3% interest compounded annually for 15 years. Morimi invested $900 at 6.3% interest compounded quarterly for 15 years. Who had more money at the end of the 15th year? Justify your answer

7 11. A colony of bacteria starts with 50 organisms and quadruples every 4.5 days. Write an exponential function, P(t), that represents the population of the bacteria after t days. Use this function to find how many days, to the nearest tenth, it will take the colony to reach 1,250 organisms. 12. Cindy found a collection of baseball cards in her attic worth $8,000. The collection is estimated to increase in value by 1.5% per year. Write an exponential growth function to model this situation. Find the value of the collection after 7 years.

Chapter 10: Exponential Functions

Chapter 10: Exponential Functions Lesson 1: Introduction to Exponential Functions and Equations Lesson 2: Exponential Graphs Lesson 3: Finding Equations of Exponential Functions Lesson 4: Exponential Growth