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To solve this problem, we need to use the formula for direct variation:
N = k(A/P)
We can use the given information to solve for k:
1,800 = k(34,000/25)
Simplifying the right side of the equation, we get:
1,800 = k(1360)
Dividing both sides of the equation by 1360, we find:
k ≈ 1.324
To find the number of dolls sold when the advertising budget is increased to $42,000, we can use the equation again:
N = 1.324(42,000/25)
Simplifying, we get:
N ≈ 2,224
Therefore, the number of dolls sold when the amount spent on advertising is increased to $42,000 is approximately 2,224 dolls.
The correct answer is C. 2,224 dolls.