A.8 Direct and Inverse Variation

Which graph shows a relationship that varies directly?

Which graph shows a relationship that varies directly?

Which equation represents a relationship with direct variation?

Which equation DOES NOT represent a relationship with direct variation?

y varies directly with x, and y is 84 when x is 16. Which equation represents this situation?

Does the equation show an inverse variation? 

$$y=\frac{10}{x}$$  

What kind of variation does this equation show?

y = 6x

Given the following equation, identify the constant k.

$$y=\frac{54}{x}$$  

True or False:

Inverse Variation passes through the origin of a graph and Direct Variation does not.

Identify the table:

Direct, Inverse, Or neither?

Identify the table:

Direct, Inverse, Neither

Identify the table:

Direct, Inverse, Or neither?

True or False:

An Inverse Variation is always a curve and a Direct Variation is always a line?

What type of variation does this graph represent?

What type of variation does this graph represent?

Write the equation for the table given.

What is the constant (k) in this inverse variation?

Is the given table a direct or inverse variation? What is the constant of variation?

Is the given table a direct variation? If so, what is the constant of variation?

Given that y varies inversely with x, if x =7 and y = 4, what is y when x = 2?

x and y vary inversely. Given (5, 20), what is the constant k?

The volume V of a gas kept at a constant - temperature varies inversely with the pressure p. If the pressure is 24 pounds per square inch, the volume is 15 cubic feet. What type of variation problem is this and which is the formula?

The amount of money spent at the gas station varies directly with the number of gallons purchased. When 11.5 gallons of gas were purchased the cost was $37.72. Write the equation?

The time to complete a project varies inversely with the number of employees. If 3 people can complete the project in 7 days, how long will it take 5 people?