Direct and Inverse Variation Answers

Which equations represent inverse variation? Check all that apply.

[___] inches

[___] feet

Which graph represents a direct variation between the quantities x and y?

When converting from inches to feet, the measurement in inches, m, of an object varies directly with its measurement in feet, f, with the constant of variation being 12. What is the equation relating these two quantities? How many inches would a 3.5-foot object measure? inches How many feet would a 27-inch object measure? feet

A quantity, t, varies inversely with a quantity, r. If t = 6, then r = 5. What is the constant of variation? k = What is the equation that represents this variation? rt = What is the value of t when r = 15?

Which statements are true about the table of values? Check all that apply.

The value of z varies inversely with the value of w. The constant of variation is . Which are possible values for z and w? Check all that apply.

The distance traveled varies directly with the time spent in motion when speed is held constant. If d represents the distance traveled and t represents time, which equation would represent this variation? If you travel 150 miles in 4 hours, what is the constant of variation? If you continue traveling at a constant speed, how long will it take to travel 200 miles? Round to the nearest tenth of an hour. about hours

Joe plotted the points (2, 0.5), (1, 1), and (0.5, 2), and claimed that these points represent an inverse variation relationship. Which statement supports his claim?

rt = [___]

[___]

What is the value of t when r = 15? [___]

about [___] hours