Special Linear Relationships Answers

Which linear relationship can be described as a function with direct variation?

Figure 4: cubes

Figure 5: cubes

The conversion of square feet to square yards can be represented by direct variation. Three square yards are equivalent to 27 square feet. Let y represent the number of square yards and x the number of square feet. Then y varies directly with x.

✔ y = (1/9)xX y = (1/3)xy = 3xy = 9x

Figure 3: cubes

The function represents the sequence.

A prepaid cell phone charges a preset number of minutes to use text messaging. The graph represents y, the number of minutes used for x, the number of text messages sent and received. Is there a direct variation? Which equation represents the relationship?

This sequence represents the diameters of circles used to create an art project:2.5 cm, 3.1 cm, 3.7 cm, 4.3 cmLet f(n) represent diameter in centimeters and n the term number in the sequence. Which equation represents the sequence of diameters?

per pound

What other points are on the line of direct variation through (5, 12)? Check all that apply.(0, 0)(2.5, 6)(3, 10)(7.5, 18)(12.5, 24)(15, 36)

Consider the sequence of numbers: , , 1, 1 , 1, . . . Which statement is a description of the sequence?

pounds of apples

What did you include in your response? Check all that apply.

A 3-pound bag of apples costs $5.25. What is the unit price of a pound of apples? | per pound | At this rate, how many pounds of apples can be purchased for $17.50? | pounds of apples | Let x represent the number of pounds of apples and y the total cost of the apples. What is the equation that represents the direct variation between the total cost of the apples and the number of pounds of apples?

The conversion of square feet to square yards can be represented by direct variation. Three square yards are equivalent to 27 square feet. Let y represent the number of square yards and x the number of square feet. Then y varies directly with x.