Introduction to Linear Functions: Quiz

The graphs below show measurements from cubes with different side lengths. Which pairs of variables have a linear relationship? Select two options.

1. side length and perimeter of 1 face 4. area of 1 face and surface area

The final cost of a sale item is determined by multiplying the price on the tag by 75%. Which best describes the function that represents the situation?

A. It is linear because the ratio of the change in the final cost compared to the rate of change in the price tag is constant.

The graph shows the increase in temperature over time in an oven. What is the change in the y-values and x-values on the graph?

A. The change in the y-values is 40 and the change in the x-values is 1.

The graphs below shows some properties of regular polygons. When compared with the independent variable, how many of the graphs represent a linear relationship?

C. 2

The table shows the distance traveled over time while traveling at a constant speed. What is the rate of change in the y-values with respect to the x-values?

D. 1,200 meters per minute

Which functions have an additive rate of change of 3? Select two options.

Graph one (begins at (0, 2)) Table two (begins at (2, -4))

Which table represents a linear function?

Table One x y 1 1/2 2 1 3 1 1/2 4 2

Ellen makes and sells bookmarks. She graphs the number of bookmarks sold compared to the total money earned. What is the rate of change for the function graphed to the left?

D. 5/2

Megan and Suzanne each have a plant. They track the growth of their plants for four weeks. Whose plant grew at a faster rate, and what was the rate?

D. Megan's at 2.5 inches per week

A data set contains an independent and a dependent variable. Which must be true of the data set if a linear function can be used to represent the data?

A. The set must have a constant additive rate of change.