Here are the steps required for Solving Joint Variation Problems: Write the correct equation. When dealing with word problems, you should consider using variables other than x, y, and z, you should use variables that are relevant to the problem being solved.

Here are the steps required for Solving Inverse Variation Problems: Write the correct equation. Inverse variation problems are solved using the equation. When dealing with word problems, you should consider using variables other than x and y, you should use variables that are relevant to the problem being solved.

Also read the problem carefully to determine if there are any other changes in the inverse variation equation, such as squares, cubes, or square roots.

Use the information given in the problem to find the value of k, called the constant of variation or the constant of proportionality.

Rewrite the equation from step 1 substituting in the value of k found in step 2. Use the equation found in step 3 and the remaining information given in the problem to answer the question asked.

When solving word problems, remember to include units in your final answer. Use the information given in the problem to find the value of k. Click Here for Practice Problems Example 4 — The time it takes you to get to campus varies inversely as your driving speed.

Averaging 20 miles per hour in bad traffic, it takes you 1.

How long would the trip take averaging 50 miles per hour? In this case, you should use t and s instead of x and y. Click Here for Practice Problems Example 5 — The volume of gas in a container at a constant temperature varies inversely as the pressure.

If the volume is 32 cubic centimeters at a pressure of 8 pounds, find the pressure when the volume is 60 cubic centimeters. In this case, you should use v and p instead of x and y.Step Write the correct equation. Direct variation problems are solved using the equation y = kx.

When dealing with word problems, you should consider using variables other than x and y, you should use variables that are relevant to the problem being solved.

The equation F 9 5 C 32 relates a temperature in degrees Fahrenheit F to the equivalent temperature in between 8 a.m. and a.m. Write a direct variation equation to describe the area y covered in x hours. _____ The number of people that can be seated in a lecture.

y - 3 = 6(x - 8) is the equation in point-slope form for the line through the given point (8, 3) with the given slope m = 6. slope of a line to determine if the equation of the line is a direct variation equation.

Landscape Lighting To use low-voltage lighting, you need a transformer to control. Is this graph a direct. variation graph? yes or no. Which of these is NOT required for. a graph to be a direct varition graph? go through origin.

y varies directly with x. Write an equation that relates x and y. if y=32 and x=8. 32=x. y=4x.

y=8x. y=32x. y varies directly with x. Write an equation that relates x and y. if y=56 and x=8. y. Step Write the correct equation. Joint variation problems are solved using the equation y = kxz. When dealing with word problems, you should consider using variables other than x, y, and z, you should use variables that are relevant to the problem being solved.

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Direct Variation