Linear, Exponential, and Quadratic Models

Which function would best represent each ink cartridge purchased for a printer costs $12.

• Linear

• Quadratic

• Exponential

Practice 2: Which model is appropriate given the points (-3, 8), (-1, 6), (0, 5), (2, 3), (3, 2)? Why?

• Exponential because it curves.

• Linear because it has a constant slope.

• Quadratic because it has a minimum.

• Infinite because it keeps going.

Choose all the equations that are exponential:

• y = 6x -5

• y = 8^x - 9

• f(x) = 3x² + 4

• y = 1/3^x

• y = 7x³

Write the function that best models the table?

• y = (1/4)x

• y = 4x

• y = 4^x

• y = (1/4)^x

Which situation is linear?

• A sample of bacteria doubles every hour

• The number of cars each hour on the road for a week

• The cost of a movie ticket increases by 5% every year

• The population of a town is increasing by ten people every year

Which of the following is the exponential regression equation for this data?

• Y = 8.16(2.7)^X

• Y = 81.6(2.7)^X

• Y = 8.16(.27)^X

• Y = 8.16(27)^X

Which type of regression model does the scatter plot appear to show?

• linear

• exponential

• quadratic

Which type of regression model does the scatter plot appear to show?

• linear

• exponential

• quadratic

The linear regression equation is y = 61.93x - 1.79.  Use the equation to predict how far this person will travel after 10 hours of driving.

• 10 miles

• 617.5 miles

• 0.19 miles

• 500 miles

The linear regression equation is y = 61.93x - 1.79.  According to the model, the slope can be interpreted as:

• After 0 hours of driving, they went 61.93 miles.

• They drove at a speed of 61.93 miles per hour.

• They drove 61.93 miles total.

• They drove 61.93 hours total.