Rate of Change and Linear Key Features

The graph models a linear relationship between the number of monthly payments made on a loan and the remaining balance in dollars left to pay on the loan. Which statement describes the x-intercept of the graph?

• The x-intercept is 60, which represents the initial balance in dollars of the loan

• The x-intercept is 27,000, which represents the initial balance in dollars of the loan

• The x-intercept is 60, which represents the number of monthly payments needed to repay the loan

• The x-intercept is 27,000, which represents the number of monthly payments needed to repay the loan

A student rode a bike from school to a recreation center. The graph shows the student’s distance in miles from the recreation center after riding the bike for x miles. What is the range of the situation?

• All real numbers greater than or equal to 0 and less than or equal to 28

• All real numbers greater than or equal to 0 and less than or equal to 9

• All real numbers less than 28

• All real numbers less than 9

What is the x- intercept of the line?

What is the y-intercept of the following graph?

What is the zero of the following function: f\left(x\right)=-3x+9

• -3

• 9

• 3

• -9

Find the slope of the line.

What is the DOMAIN of this graph?

• -4 ≤ x ≤ 3

• -1 ≤ x ≤ 4

• -1 ≤ y ≤ 4

What is the x-intercept of the following graph?

The graph below models the relationship between the distance someone travels and the time they have been traveling. What is the y-intercept and the meaning?

• The y-intercept is 0. It represents the time the person has traveled to go 0 miles.

• The y-intercept is 240. It represents the distance the person has traveled after 6 hours.

• The y-intercept 40. It represents the rate at which the person is traveling.

• The y-intercept is 0. It represents the distance the person has traveled at the beginning.

What is the range of the part of the linear function shown on the graph?