Math I EOC Review #2

Jason compared the function f(x) = 20(1.2) ^x to the function that fits the values in the table
below. What is the distance between the y-intercepts of the two functions?

• 14
• 8
• 6
• 4

The graph below shows the number of bacteria in a petri dish over a period of time. Which exponential function could be used to model the number of bacteria after x days?

• y = 1.5(1,266)^x  
• y = 1,266(1.5)
• y = 1.05(1,266)^x
• y = 1,266(1.05)^x 

Which choice is a correct equation for the graph shown below?

• y = 2x + 20
• y = 3x + 1  
• y = 10x + 5
• y = 15x + 35

Isaac rented a movie but forgot to return it on time. The table below shows the total amount of money that Isaac owed after different numbers of days.  Which function models the amount of money Isaac owed after x days?

• y = 1.25x + 1.75
• y = 1.25x + 3
• y = 1.25(3)^x
• y = 3(1.25)^x   

What is the smallest positive integer value of x such that the value of f(x) = 2^x +2 exceeds the value of g(x) =12x + 8?

• 4
• 5
• 6
• 7

The population of a county was 287,000 in the year 2005. In 2008, the population of the county was 347,270. Assuming the population is growing exponentially, which function models the population of the county x years after 2005?

• p(x) = 287,000(1.05)^{x − 1}  
• p(x) = (287,000)(1.05)^x  
• p(x) = 287,000(1.07)^{x − 1}  
• p(x) = (287,000)(1.07)^x  

Paula kicks a ball off the ground into the air. The height, in feet, of the ball t seconds after it is kicked is modeled by the function h(t) = ^–16t² + 80t. How long after the kick will it take for the ball to reach its maximum height?

• 2.5 seconds
• 5 seconds
• 7.5 seconds
• 10 seconds

A volleyball team is making and selling bracelets to raise money for their summer camp. The function P(b) = 3b models the profit if the team sells b bracelets. What is the domain if the team has 300 bracelets to sell?

• [0, 3]  
• [0, 9]  
• [0, 300]  
• [0, 900]  

A linear function, f(x), is shown in the table below.  If g(x) = 2x + 6, which statement is true

• The function f(x) has an x-intercept of 8.
• The function f(x) has a y-intercept of ^–2
• The function g(x) has an x-intercept of ^–3
• The function g(x) has a y-intercept of 2.

A plumber uses the equation y = 45x + 60 to calculate the total charge for a job, y, where x represents the number of hours it takes to complete the job. What is the most appropriate domain of this function?

• x > 0  
• x > 1  
• x < 0
• x < 1