Geometric Sequences — Unit test Answers

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.

Over which interval does the exponential show a more rapid rate of change?

Two different radioactive isotopes decay to 10% of their respective original amounts. Isotope A does this in 33 days, while isotope B does this in 43 days. What is the approximate difference in the half-lives of the isotopes?

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

An equation for the depreciation of a car is given by y = A(1 – r)t, where y = current value of the car, A = original cost, r = rate of depreciation, and t = time, in years. The current value of a car is $12,282.50. The car originally cost $20,000 and depreciates at a rate of 15% per year. How old is the car?

The graph of an exponential function and a linear function are shown below. Exponential Linear Which statement is true about the functions?

What is the solution to

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.

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

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?

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?

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?

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

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