Comparing Exponential, Linear, and Quadratic Growth — Unit test Answers

What is the solution to

Which type of function is represented by the table of values below?xy14216364425651,024

What is the solution of Round your answer to the nearest hundredth.

An initial investment of $200 is now valued at $350. The annual interest rate is 8% compounded continuously. The equation represents the situation, where t is the number of years the money has been invested. About how long has the money been invested? Use a calculator and round your answer to the nearest whole number.

What is the solution to

One brand of vinegar has a pH of 4.5. Another brand has a pH of 5.0. The equation for the pH of a substance is pH = –log[H+], where H+ is the concentration of hydrogen ions. What is the approximate difference in the concentration of hydrogen ions between the two brands of vinegar?

Which formula can be used to describe the sequence?

A scientist writes the equation to model the growth of a certain bacteria in a petri dish, where N represents the number of bacteria after h hours. After approximately how many hours will 450 bacteria be present? Round your answer to the nearest whole number.

Which is the graph of the sequence defined by the function f(x) = 100(0.5)x - 1?

A bungee jumper falls 97.2 feet before bouncing back up at the end of his bungee cord. Then he falls 64.8 feet before bouncing up again. On his third descent, he falls 43.2 feet before going back up. What is the total distance the bungee jumper drops after five falls if the distances continue in this pattern? (Do not include the distance traveled up.)

Which explains why the graphs of geometric sequences are a series of unconnected points rather than a smooth curve?

Which is the graph of the sequence defined by the function f(x + 1) = f(x) when the first term in the sequence is 375?

Which rule can be used to describe the growth of the y-values of the function over each interval from to ?

A savings account pays 2% interest compounded annually. If $1,200 is deposited initially and again at the first of each year, how much money will be in the account three years after the initial deposit?

Two different cars each depreciate to 60% of their respective original values. The first car depreciates at an annual rate of 10%. The second car depreciates at an annual rate of 15%. What is the approximate difference in the ages of the two cars?