5 Student Home X Bb Course Home - 21FA Basic Physic x * Course Hero X VA 4.1 Hmwk- Exponential Functions X + V X -> C Q Search Secure Search | Consider this scenario: For each year t, the population of a forest of trees is represented by the function A(t) = 119(1.023)'. In a neighboring forest, the population of the same type of tree is represented by the function B(t) = 81(1.027). Which forest had a greater number of trees initially? O forest represented by A(t) O forest represented by B(t) By how many? (Round your answer to the nearest whole number.) trees Additional Materials eBook Exponential Growth Function Submit Answer 6. [0.5/1 Points] DETAILS PREVIOUS ANSWERS OSPRECALC1 4.1.011. MY NOTES ASK YOUR TEACHER PRACTICE ANOTHER Consider this scenario: For each year t, the population of a forest of trees is represented by the function A(t) = 111(1.025). In a neighboring forest, the population of the same type of tree is represented by the function B(t) = 84(1.023). Assuming the population growth models continue to represent the growth of the forests, which forest will have a greater number of trees after 20 years? O forest represented by A(t) O forest represented by B(t) By how many? (Round your answer to the nearest whole number.) |trees Additional Materials WeBook H Exponential Growth Function Type here to search O 79'F Cloudy ~ DO(() 5:27 PM 10/15/2021 E65 Student Home X Bb Course Home - 21FA Basic Physic X Course Hero X VA 4.1 Hmwk- Exponential Functions X + V X - C Q Search Secure Search | . .. weBOOK 8. [-/1 Points] DETAILS OSPRECALC1 4.1.018-022.WA.TUT. MY NOTES ASK YOUR TEACHER PRACTICE ANOTHER Write an exponential function y = ab* for a graph that passes through (2, 1) and (3, 12). Tutorial 9. [-/1 Points] DETAILS OSPRECALC1 4.1.019. MY NOTES ASK YOUR TEACHER PRACTICE ANOTHER Find the formula for an exponential function that passes through the two points given. (x, y) = (0, 1100) and (x, y) = (2, 11) F( x ) = Additional Materials eBook Learn by Example Example Video 10. [-/1 Points] DETAILS OSPRECALC1 4.1.024. MY NOTES ASK YOUR TEACHER PRACTICE ANOTHER Determine whether the table could represent a function that is linear, exponential, or neither. 2 3 4 5:28 PM Type here to search O 79'F Cloudy ~ DOES(() 10/15/20215 Student Home X Bb Course Home - 21FA Basic Physic x * Course Hero X VA 4.1 Hmwk- Exponential Functions X + V X -> C Q Search Secure Search Determine whether the table could represent a function that is linear, exponential, or neither. 2 3 h(x) 30 81 72.9 65.61 O linear O exponential O neither If it appears to be exponential, find the exponential function that passes through the points. (If an answer does not exist, enter DNE.) h (x) = Additional Materials eBook 11. [0/1 Points] DETAILS PREVIOUS ANSWERS OSPRECALC1 4.1.029. MY NOTES ASK YOUR TEACHER PRACTICE ANOTHER For the following exercise, use the compound interest formula, A(t) = P(1 + )" , where money is measured in dollars. After a certain number of years, the value of an investment account is represented by the expression 10,500( 1 + 0.03 120 . What was the initial deposit made to the account? 12 $ 14168 Refer to the general formula for compound interest and compare it to the given compound interest expression. Which constant corresponds to the initial deposit or principal? Additional Materials WeBook Compound Interest Type here to search O 79.F Cloudy ~ DOG() 5:28 PM 10/15/20215 Student Home X Bb Course Home - 21FA Basic Physic x * Course Hero X VA 4.1 Hmwk- Exponential Functions X + X -> C Q Search Secure Search | 16. [0/1 Points] DETAILS PREVIOUS ANSWERS OSPRECALC1 4.1.051. MY NOTES ASK YOUR TEACHER PRACTICE ANOTHER Use a graphing calculator to find the equation of an exponential function given the points on the curve. (x, y) = (0, 3) and (x, y) = (3, 192) 63x + 3 Recall that an exponential equation can be determined from two points with the regression feature on a graphing calculator. After the two points are entered into the list entries of a calculator, which regression type should be chosen? Additional Materials eBook 17. [-/1 Points] DETAILS OSPRECALC1 4.1.061-068A.WA.TUT. MY NOTES ASK YOUR TEACHER PRACTICE ANOTHER A car is sold for $18,000. After one year, the value of the car is $13,500. Write an exponential function y to determine the value of the car after x years if the rate of decrease is the same each year, y= Estimate the value of the car after 2 years. Round the answer to the nearest dollar. S Tutorial 18. [-/1 Points] DETAILS OSPRECALC1 4.1.061-068C.WA.TUT. MY NOTES ASK YOUR TEACHER PRACTICE ANOTHER To save for a new car, Trafton invested $5,000 in a savings account that earns 3.5% interest, compounded continuously. After four years, he wants to buy a used car for $6,000. How much money will he need to pay in addition to what is in his savings account? (Round your answer to the nearest cent.) $ Tutorial Type here to search O 79OF Cloudy ~ DOE() 5:28 PM 10/15/20215 Student Home X Bb Course Home - 21FA Basic Physic X Course Hero X VA 4.1 Hmwk- Exponential Functions X + X C Q Search Secure Search | . .. 19. [-/1 Points] DETAILS OSPRECALC1 4.1.061. MY NOTES ASK YOUR TEACHER PRACTICE ANOTHER The fox population in a certain region has an annual growth rate of 7% per year. In the year 2012, there were 23,600 foxes counted in the area. What is the fox population predicted to be in the year 2020? (Round your answer to the nearest whole number.) foxes Additional Materials eBook Exponential Growth Function 20. [-/1 Points] DETAILS OSPRECALC1 4.1.063. MY NOTES ASK YOUR TEACHER PRACTICE ANOTHER In the year 1985, a house was valued at $110,000. By the year 2005, the value had appreciated exponentially to $160,000. What was the annual growth rate between 1985 and 2005? (Round your answer to two decimal places.) Assume that the value continued to grow by the same percentage. What was the value of the house in the year 2010? (Round your answer to the nearest dollar.) Additional Materials eBook Exponential Growth Function Submit Assignment Save Assignment Progress Type here to search O 79F Cloudy ~ DOES() 5:28 PM 10/15/2021