Unit 5 Review

The population of a city increases by 5% every year. If its population today is 300,000, what will its

population be in 2 years?

• 300,000 ∙ (0.05)²

• 300,000 ∙ (1.05) ∙ (2)

• 300,000 ∙ (1.05)

• 300,000 ∙ (1.05)²

For which function does f decrease by 15% every time x increases by 1?

• f(x) = 0.15^x

• b.f(x) = 0.85^x

• f(x) = 15^x

• f(x) = 85^x

Consider the function for cell duplication: f(x) = 75(2)^x

The cells duplicate every minute. What do

the values of 75 and 2 represent in relation to the duplication of these cells?

• The 75 is the initial number of cells, and the 2 indicates that the cells double every minute.

• The 75 is the initial number of cells, and the 2 indicates that the cells increase by 2 every

  minute.

• The 75 is the initial number of cells at 1 minute, and the 2 indicates that of cells double

  every minute.

• The 75 is the initial number of cells at 1 minute, and the 2 indicates that the cells increase

  by 2 every minute.

A function is given in the table. Which equation represents the function in the table?

• y = 24x + 12

• y = 12x + 24

• y=36(1.5)^x

• y = 24(1.5)^x

The graph of the exponential function shown passes through (−1, −1.5) and (1,6). Which function

represents the graph?

• y = 5(2)^x− 4

• y= 5 (1/2)^x -4

• y= 5 (2)^x +1

• y= 5 (1/2)^x +1

The table shows the value of a motorcycle for a certain number of years after it was purchased.

What does the point (8, 671) represent in this situation?table shows

• The initial cost of the motorcycle was $8,671.

• The motorcycle will have a value of $671 in 8 years.

• The motorcycle had 8,671 miles when purchased.

• The motorcycle will have a value of $671 in 8 months.

The function graphed on this coordinate grid shows f(x), the height of a dropped ball in feet after each

bounce, x. Identify and interpret the domain in the context of the bouncing ball.

• The domain is [0,25] and represent the height of the ball in

  feet.

• The domain is 1,2,3,4 and represents four bounces of the ball.

• The domain represents the number of bounces of the ball.

• The domain is [0,1,2,3,4] and represents the number of

  bounces of the ball.

The function c(x) = 72 ∙ (1.04)^xmodels the cost in dollars, c, of 1 ounce of a certain chemical used in

a laboratory where x represents the number of years since 2010.

How much does an ounce of the chemical cost in 2018?

• $145.86

• $1.70

• $599.04

• $98.54

Consider the function for cell duplication: f(x) = 75(2)^x

The cells duplicate every minute. What do

the values of 75 and 2 represent in relation to the duplication of these cells?

• The 75 is the initial number of cells at 1 minute, and the 2 indicates that the cells increase

  by 2 every minute.

• The 75 is the initial number of cells at 1 minute, and the 2 indicates that of cells double

  every minute.

• The 75 is the initial number of cells, and the 2 indicates that the cells increase by 2 every

  minute.

• The 75 is the initial number of cells, and the 2 indicates that the cells double every minute.

Monthly rent at Lake View Apartments has increased annually and is modeled by the exponential equation y = 2,400(1.04)^x. What is the percent increase per year?

• .04%

• 4%

• 40%

• 104%