Mini EOC Quiz #8

1. Choose the real world example that represents a quadratic function.

• smart phone sales since 1990
• throwing a baseball in the air
• population of a colony of feral cats
• grade on a test compared to hours of studying

2. Which function(s) have a constant rate of change? Select all that apply.

• Linear
• Quadratic
• Exponential, Quadratic
• 
• 

3. The average rate of change between the 2nd and 3rd point is

• 2
• 6
• 10
• -6

4. If the number of bacteria in a colony doubles every 210 minutes and the population is currently 8,000 bacteria, what will the population be in 630 minutes and is it modeled by a linear function or an exponential function?

• 24,000; linear function
• 24,000; exponential function
• 64,000; linear function
• 64,000; exponential function

5. Jana has to solve a system of equations that contains an exponential function and a linear function. She decides to solve graphically and the graph she obtained is shown. Is the complete solution shown? Why or why not?

• Yes, since one of the equations is linear the two functions can only intersect once and the intersection point is shown.
• Yes, since the slope of the line is not as great as the rate of change of the exponential the y-values will be greater and they will only intersect one time.
• No, exponential functions are the fastest growing functions. Since this is decay, eventually the exponential will level out where as the line has a constant rate of change. Therefore the exponential will eventually have higher y-values than the line. There must be a second intersection point.
• No, even though the line has a smaller rate of change initially than the exponential, eventually the exponential will have to have a smaller rate of change than the linear since they are the fastest growing functions. Given that there must be at least one more intersection point somewhere near y = -1.