Which graph represents a linear function of x?

Which graph represents a linear function of x?

• Diagram A

• Diagram B

• Diagram C

• Diagram D

Which of the following is an example of a graph showing exponential growth?

• Diagram A

• Diagram B

• Diagram C

• Diagram D

The population of a type of bacteria triples every minute. The chart below represents the population of bacteria after t minutes. Which type of function represents the data?

• linear

• quadratic

• exponential

• absolute value

Mr. Jenson gave his class the data below. As part of the class warm-up, Mr. Jenson asked his students to describe the shape of the graph created by these data points. Which of these student responses best describes the shape of the graph?

• cubic

• exponential

• linear

• quadratic

The following exponential function describes the growth of a certain plant cell in t hours. p(t) = 3 · 16^t. How many plant cells are there after 3/4 hour?

• A. 12

• B. 18

• C. 24

• D. 36

The population of a town is 345,000. The function f(t) = 345,000(1.2)^t gives the predicted population of the town in t years. Approximately what will the population be in 3 years?

• A. 350,000

• B. 600,000

• C. 700,000

• D. 1,250,000

Alan won $2,000 in an essay contest. He invested the money in a savings account which pays 6% interest compounded annually. Consider the formula: A(t) = A0(1 + r)^t, where A(t) is the accumulated amount at time t, A0 is the amount invested at time t = 0, r is the interest rate, and t is time in years. What is Alan's investment worth after two years?

• A. $240

• B. $247

• C. $2,240

• D. $2,247

The value of Mr. Dulaney's car x years after its purchase is given by the function V(t) = 15,000(0.87)^t. Approximately, what was the value of Mr. Dulaney's car 5 years after its purchase?

• A. $7,500

• B. $8,600

• C. $9,900

• D. $13,100

Which pair of tables represent ( y_1 ) as a linear function and ( y_2 ) as an exponential function?

• A

• B

• C

• D

The value, ( V_{t+1} ), of a particular car is related to the previous year's value, ( V_t ), by the function ( V_{t+1} = (1 - 0.15)V_t ). Which statement best describes the change in the car's value from one year to the next?

• The value is decreasing by 15%

• The value is increasing by 15%

• The value is decreasing by 85%

• The value is increasing by 85%