Verified answer

✏️VARIATION

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Find: If a varies inversely as b and a = 12 when b = 8, find a when b = 6.

Solution: Create the equation of an inverse variation in which k is the constant.

- Find the constant.

- We have a constant is 96, find a when b = 6.

- The value of a is:

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Find: z varies jointly as x and y and z = 60 when x = 5 and y = 6. Find y when z = 80 and x = 4.

Solution: Create the equation of a joint variation in which k is the constant.

- Find the constant.

- We have a constant is 2, find y when z = 80 and x = 4.

- The value of y is:

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Find: If d varies directly as t, and d = 150 when t = 3, find d when t = 5.

Solution: Create the equation for a direct variation in which k is the constant.

- Find the constant.

- We have a constant is 150/4, Find d when t = 5

- Therefore, the value of d is:

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Find: If m varies directly as n and inversely as s and m= 6 when n = 3 and s = 4, find m when n = 6 and s = 8.

Solution: Write a combined variation in which k is the constant of the variation.

- Find the constant.

- We have a constant is 8, Find m when n = 6 and s = 8.

- The value of m is:

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Find: r varies inversely as I and r = 14 when l = 8, find r when I = 16.

Solution: Create the equation of an inverse variation in which k is the constant.

- Find the constant.

- We have a constant is 112, Find r when l = 16

- The value of r is:

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