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 1800 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.
Answer

877 dolls

710 dolls

2,224 dolls

1,800 dolls

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 1800 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.
Answer
		
877 dolls
		
710 dolls
		
2,224 dolls
		
1,800 dolls

pfenn1 · Answer

N=number of dolls sold
A=advertizing budget
P=price of each doll
N varies directly with A and inversely with P so$$N=\frac{kA}{P}$$where k is a constant.

pfenn1 · Answer

N=1800 when A=3400and P=25.  Plug these values into the equation and solve for k.

anonymous · Answer

I got a huge number what did u get

pfenn1 · Answer

I did too but then I realized that I copied the A wrong.  A should have been34,000, when N=1800 and P=25.

anonymous · Answer

what did u get

pfenn1 · Answer

I got k=1.3

anonymous · Answer

somethings wrong its not one of the answer choices

pfenn1 · Answer

No, it wouldn't be.  I just got k=1.3 but then you need to plug that back into the equation to get$$N=\frac{1.3A}{P}$$Now solve the equation for the situation where A=42,000 and P=25.

pfenn1 · Answer

*k=1.32$$N=\frac{1.32A}{P}$$

anonymous · Answer

the answer is C. 2224 dolls