Direct and Inverse Variations

Determine the type of variation.

• Direct

• Inverse

• None

If m varies directly as p, and m = 35 when p = 5, find m when p is 6.

• 42

• 36

• 25

• 49

The frequency of a vibrating string varies inversely as its length. A string 3 feet long vibrates 175 cycles per

second. Find the frequency of a 5 foot string.

• 105 cycles

• 291.7 cycles

• 2625 cycles

• 332 cycles

Given: y varies inversely with x. If y = 40 when x = 16, find x when y = -5.

Find the value of k.

Given: y varies inversely with x. If y = 40 when x = 16, find x when y = -5. Find the value of x.

If x and y vary inversely, as y increases, what happens to the value of x?

• decreases

• increases

Given: y varies directly with x. If y = -4 when x = 2, find y when x = -6. Find the value of k.

Given: y varies directly with x. If y = -4 when x = 2, find y when x = -6. Find the value of y.

Suppose y varies directly as x, and y = 9 when x = 3/2. Find y when x = -1/2.

What is the value of k?

Suppose y varies directly as x, and y = 9 when x = 3/2. Find y when x = -1/2.

What is the equation of the variation?