Linear and Exponential Solutions

Name this formula

• Slope Formula

• Vertex Formula

• Growth and Decay

• Exponential Formula

Which equation is the exponential function?

• y= xb^a

• y= xa^b

• y= ab^x

• y= ba^x

Name this equation.

• Slope equation

• Slope Intercept

• Slope Point formula

• Standard form equation

In a linear equation, how do you identify the y-intercept?

• y

• m

• x

• b

Mathematical Equivalence

OFF

Is the table linear, exponential or neither?

• Linear

• Exponential

• Neither

What is the equation that represents the exponential function in the image below?

• y=3(½)^x

• y=3(2)^x

• y=(2)^x

• y=2(3)^x

Leonard compared the cost of purchasing a gallon of gas at two different gas stations. The function C(g) = 3.25 + 0.07x models the average cost of a gallon of gas at the first gas station after x months. The table below shows the average cost of a gallon of gas at the second gas station after different numbers of months. Which statement is true?

• The first station had a higher initial price per gallon and increased at a greater amount per month than the second station.

• The second station had a higher initial price per gallon and increased at a greater amount per month than the first station.

• The first station had a higher initial price per gallon but increased at a smaller amount per month than the second station.

• The second station had a higher initial price per gallon but increased at a smaller amount per month than the first station.

Suppose a bacteria is introduced to two different solutions in separate petri dishes. The bacteria in the first solution grow at a rate modeled by the function G(t) = (1.40)^t. The bacteria in the second solution grow in accordance with the data displayed in the table. Which statement best describes the growth rates exhibited within the two different solutions?

• The bacteria grow at the same rate in both solutions.

• The bacteria grow at a slower rate in the first solution.

• The bacteria grow at a faster rate in the first solution.

• The bacteria decay in the first solution and grow in the second solution.

What is Mrs. Gordon's rate from 0 to 2 seconds?

• 2.5 feet per second

• 0.4 feet per second

• 5 feet per second

• 0.2 feet per second