A company test-marketed an item at different prices at several retail stores. The scatterplot above shows the item prices and the profit made by the company when the item was sold at the different item prices. A quadratic model that best fits the data is also shown. For a price of $25, which of the following best approximates the percent increase from the test-market profit to the profit that the model predicts?

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Inspect the graph for what the model predicts vs. the actual profit.

The predicted value from the model appears to correspond to $4,000 in profit. Therefore, the percent increase from the actual value to the predicted value is:

$$ 3{,}000 (1+r) = 4{,}000 $$ $$ 1+r = \frac{4{,}000}{3{,}000} $$ $$ 1+r = \frac{4}{3}$$ $$ r = \frac{1}{3} $$ $$ r \approx .33 $$ $$ = \boxed{33\%} $$