Algebra Linear and Exponential Functions

What is a, the starting term, for the function: f(x) = 300(1.16)^x?

• 300

• 1.16

• .16

• x

Which of the following functions shows an initial amount of $15 and an increase of 35% each year?

• y = 15(35)^x

• y = 15(1.35)^x

• y = 15(0.35)^x

• y = 35(1.15)^x

Classify the model as Exponential GROWTH or DECAY.
A=1200(.85)⁶

• Growth

• Decay

Classify the model as Exponential GROWTH or DECAY.
A=10(1.01)³

• Growth

• Decay

Consider the two points (0, 8) and (1, 2).

a. Write a linear equation that passes through these points in slope-intercept form.

b. Write an exponential equation in y = ab^x form that also passes through the two points.

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Kelsi is starting a new savings account. Bank 1 offers to add $40 to the account each month as interest. Bank 2 tells her that they will add 10% of the accounts value each month as interest. Which of the following is true about the accounts

• Bank 1 is best modeled by a linear function & Bank 2 is best modeled by an exponential function.

• Bank 1 is best modeled by an exponential function & Bank 2 is best modeled by a linear function.

• Both Bank 1 and 2 are best modeled by linear functions.

• Both Bank 1 and 2 are best modeled by exponential functions.

Kelsi is starting a new savings account. Bank 1 offers to add $40 to the account each month as interest. Bank 2 tells her that they will add 10% of the accounts value each month as interest. Which of the following is true about the accounts

• Bank 1 is best modeled by a linear function & Bank 2 is best modeled by an exponential function.

• Bank 1 is best modeled by an exponential function & Bank 2 is best modeled by a linear function.

• Both Bank 1 and 2 are best modeled by linear functions.

• Both Bank 1 and 2 are best modeled by exponential functions.

Is the pictured graph growth, decay, or linear or none?  

• Exponential Growth

• Exponential Decay

• Linear

• None

Is this exponential growth or decay?

• Growth

• Decay

Simplify the exponential expression:

• 10x^-2

• 2x²

• 2x¹²

• 10x¹²