Representing Function Relationships

James and Jaden both download music. James's downloads are represented by the equation y=4x where x represents the number of minutes and y represents the total number of songs downloaded. Jaden's downloads are represented in the graph. Select all true statements.

• Jaden downloads more songs per minute than James.

• James downloads more songs per minute than Jaden.

• Jaden downloads 4 songs per minute.

• James downloads 4 songs per minute.

• Jaden downloads 2 songs per minute.

Chaz Randy has 1 chocolate candy for every 2 strawberry waffles. He graphs this situation with x representing the number of chocolate candies and y representing the number of strawberry waffles. Which graph represents this statement and which statement is true? Select two answers.

• 
• 
• The slope of the graph representing this situation is 1/2.

• The slope of the graph representing this situation is 2.

Lawrence and Darren each rent a canoe. The cost Lawrence's rental can be represented by the equation y=10x. Darren's rental is shown in the graph. Determine who pays more per hour for the canoe rental and how much each person pays per hour.

• Lawrence pays more per hour.

• Darren pays more per hour.

• Lawrence pays $10 per hour.

• Darren pays $12 per hour.

• Lawrence pays $12 per hour.

Katelyn and Sodnoa are both driving for a vacation. Katelyn's distance per hour is represented by the equation y=45x where x is the number of hours and y is the total distance. Sodnoa's driving is represented in the graph. Who drives at a greater speed per hour and by how much? Select two.

• Katelyn a greater distance per hour.

• Sodnoa drives 92 miles per hour.

• Sodnoa drives a greater distance per hour.

• Katelyn drives 5 miles per hour faster than Sodnoa.

• Sodnoa drives 1 mile per hour faster than Katelyn.

• A/F
• B/G
• C/H
• D/J

The relation ​ (a)   a function.

• is not

• is

For Saturday’s debate tournament, Sarah ordered 3 cookies for each student participant and a tray of 30 cookies for the sponsors’ hospitality room. This relationship can be expressed by the function f(s) = 3x + 30, where s is the number of student participants. Which is the dependent quantity in this functional relationship?

• The number of cookies ordered

• The number of trays ordered

• The number of student participants

• The number of sponsors

A scientist measures the height, h, of a tree each month, and m is the number of months since the scientist first measured the height of the tree.

What statements are correct?

• Height is a function of months

• Months are a function of height

• Height depends on months

• Months depend on height

The output is three less than the input

• x=y-3

• y=x-3

• y=3-x

• y=3x

Which statement best describes the relationship between time shopping online and the number of stores visited?

• As the number of hours increases, the number of stores decreases.

• As the number of hours increases, the number of stores increases.

• The number of hours and the number of stores are about the same.

• As the number of hours decreases, the number of stores increases.