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Lesson: 6.2 Exponential Models
Question 6 of 7, Step 1 of 1
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1
The revenue function is given by $R(x)=x \cdot p(x)$ dollars where $x$ is the number of units sold and $p(x)$ is the unit price. If $p(x)=26(4)^{\frac{-x}{6}}$, find the revenue if 18 units are sold. Round to two decimal places.
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Round the revenue to two decimal places to get the final answer: \(\boxed{7.31}\)
Step 1 ：Substitute $x=18$ into the unit price function $p(x)=26(4)^{\frac{-x}{6}}$ to get the unit price.
Step 2 ：Calculate the unit price $p_x = 26 * (4 ^ {-18/6}) = 0.40625$
Step 3 ：Calculate the revenue $R_x = 18 * p_x = 18 * 0.40625 = 7.3125$
Step 4 ：Round the revenue to two decimal places to get the final answer: \(\boxed{7.31}\)
