1. y varies inversely with x. If y = 3 and k (the constant of variation) = 33, what is x?

Round to the nearest whole number, if necessary.

2. y varies inversely with x, and k (the constant of variation) = 5.6. What is the value of y when x = 4?

Round to the nearest tenth, if necessary.

3. y varies inversely with x. If y = 17 and k (the constant of variation) = 76, what is x?

Round to the nearest tenth, if necessary.

Step-by-step explanation:

1) y varies inversely with x. If y = 3 and k (the constant of variation) = 33

If y varies inversely with x, then as y increases increases, x reduces and as y reduces, x increases.

y varies inversely with x

Introducing constant of inverse variation, k

y = k/x

If y = 3 and k (the constant of variation) = 33,

x = k / y = 33/3

= 11

2) y varies inversely with x, and k (the constant of variation) = 5.6. What is the value of y when x = 4

y = k/x

y = 5.6/4 = 1.4

3) y varies inversely with x. If y = 17 and k (the constant of variation) = 76

y = k / x

x = k / y = 76/17 = 4.4705

= 4.5 to the nearest tenth