Pemdas, Linear Functions, and Exponential Functions Practice

What does the "b" stand for in y=mx+b?

• slope

• x-intercept

• y-intercept

What letter represents the slope of a line in the equation y = mx + b?

• y

• m

• x

• b

Which equation best represents the line on the graph?

• y= 1/2x

• y= -1/2x

• y = 2x

• y = -2x

Is the equation linear, exponential or neither?

• Linear

• Exponential

• Neither

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.

Create the exponential function with the following attributes:

Asymptote: y = 0

Initial value: 3

Point on the graph: (2, 6)

Growth

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.

If f(x) = 2x + 1, find f(1).

• f(1) = 1

• f(1) = 4

• f(1) = 0

• f(1) = 3

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.

A shipping company started with 40 employees. The number of employees in the shipping company increases at a rate of 7.5% each year. What function can be used to model the number of employees, f(x), in the shipping company after x years?