U3 L1: Inverse Variation

A tour group charges a flat price for a tour of up to 20 people. The cost per person varies inversely with the number of people. If five people must pay $135 each, what must 15 people pay per person?

$45

Suppose that r varies directly with s and inversely with t, and r=2 when s=3 and t=12. What is the value of r when s=5 and t=4?

10

Designer Dolls, Inc., found that the number N of dolls sold varies directly with their advertising budget A and inversely with the price P of each doll. The company sold 1,800 dolls when $34,000 was spent on advertising and the price of a doll was set at $25. Determine the number of dolls sold when the amount spent on advertising is increased to $42,000. Round to the nearest whole number.

2,224 dolls

Which equation shows that m varies directly with p?

m = p/3

Suppose that x and y vary inversely and that x=2 when y=8. Write the function that models the inverse variation.

y = 16/x