Question

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 5200 dolls when $26,000 was spent on advertising and the price of a doll was set at $30. Determine the number of dolls sold when the amount spent on advertising is increased to $52,000. Round to the nearest whole number. Question 10 options: 3,447 dolls 10,400 dolls 5,200 dolls 1,723 dolls
A.3,447 dolls
B.10,400 dolls
C.5,200 dolls
D.1,723 dolls

Answer 1

Direct variation: y = kx
Inverse variation: y = k/x

Using the information above about direct and inverse variation, we get this general equation.

N = kA/P

Now we use the given information to find the value of the constant, k.

5200 = k * 26,000/30

k = 6

Now we know k, so we can write the equation for this case.

N = 6A/P

A = 52,000

N = 6 * 52,000/30

N = 10,400