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.
A. 5,200 dolls
B. 1,723 dolls
C. 3,447 dolls
D. 10,400 dolls
i know its not b
N = kA/P
If A is doubled, so in N.
So, (D)
Doubling the advertising budget should do what for the number of dolls sold?
Designer Dolls found that its number of Dress-Up Dolls sold, N, varies directly with their advertising budget, A, and inversely proportional with the price of each doll, P. When $5,400 was spent on advertising and the price of the doll is $90, then 9600 dolls were sold. Determine the number of dolls sold if the amount of advertising budget is increased to $25,000 the price per dolls is $120.round your answer to the nearest whole number.
To determine the number of dolls sold when the amount spent on advertising is increased to $52,000, we can use the concept of direct and inverse variation.
According to the problem, the number of dolls sold (N) varies directly with the advertising budget (A) and inversely with the price of each doll (P).
The formula for this relationship can be expressed as:
N = k * (A/P)
where k is the constant of variation.
To find the value of k, we can use the initial values given in the problem:
N = 5200 dolls
A = $26,000
P = $30
Plugging these values into the formula, we get:
5200 = k * (26000/30)
Now, we can solve for k:
k = 5200 * (30/26000) = 6
Once we have the value of k, we can use it to find the number of dolls sold when the amount spent on advertising is increased to $52,000.
N = k * (A/P)
N = 6 * (52000/30)
N = 10400 dolls
Therefore, the number of dolls sold when the amount spent on advertising is increased to $52,000 is 10,400 dolls.
So the answer is D. 10,400 dolls.