Each year, the value of an investment increases by0.49% of its value the previous year. Which of thefollowing functions best models how the value of theinvestment changes over time?A) Decreasing exponentialB) Decreasing linearC) Increasing exponentialD) Increasing linea
Question
Each year, the value of an investment increases by0.49% of its value the previous year. Which of thefollowing functions best models how the value of theinvestment changes over time?A) Decreasing exponentialB) Decreasing linearC) Increasing exponentialD) Increasing linea
Solution
The best model for this type of growth is C) Increasing exponential. This is because the value of the investment increases by a certain percentage each year, which is a characteristic of exponential growth. In contrast, linear growth would involve the value increasing by a fixed amount each year.
Similar Questions
The value of a certain investment over time is given in the table below. Answer the questions below to determine what kind of function would best fit the data, linear or exponential.Number of Years Since Investment Made, x1234Value of Investment ($), f(x)13,215.5515,826.8519,183.1022,951.00AnswerAttempt 1 out of 2 function would best fit the data because as x increases, the y values change . The of this function is approximately .
Prakash bought a new car at the dealership for $27,000. It is estimated that the value of the car will decrease 7% each year. Which exponential function models the value v of the car after t years?A.𝑣=27,000(0.93)𝑡v=27,000(0.93) t B.𝑣=27,000(1.3)𝑡v=27,000(1.3) t C.𝑣=27,000(1.03)𝑡v=27,000(1.03) t D.𝑣=27,000(0.3)𝑡v=27,000(0.3) t SUBMITarrow_backPREVIOUS
Instructions: Interpret the function given in the context of the real-world situation described to answer the question.The projected value of an investment is modeled by the exponential function V(t)=25,000(1.115)t𝑉(𝑡)=25,000(1.115)𝑡, where V(t)𝑉(𝑡) is the total value after t𝑡 years. What is the percent increase each year for the investment?Answer 1 Question 14 %
The value of money that is invested generally _______ over time.A.increasesB.remains the sameC.triplesD.decreasesSUBMITarrow_backPREVIOUS
Which of the contexts below could be modeled by a linear function?AnswerMultiple Choice AnswersMoney invested in a savings account grows at an annual rate of 3%.A car depreciates at a rate of 2.7% per year.
Upgrade your grade with Knowee
Get personalized homework help. Review tough concepts in more detail, or go deeper into your topic by exploring other relevant questions.