Questions: If a calculator is sold for 11.45, then the revenue in dollars, R, generated by this item is given by the formula R=11.45q, where q represents the number of calculators sold. Use the formula to determine the revenue generated by this item if 38 calculators are sold.

If a calculator is sold for 11.45, then the revenue in dollars, R, generated by this item is given by the formula R=11.45q, where q represents the number of calculators sold. Use the formula to determine the revenue generated by this item if 38 calculators are sold.
Transcript text: If a calculator is sold for $\$ 11.45$, then the revenue in dollars, $R$, generated by this item is given by the formula $R=11.45 q$, where $q$ represents the number of calculators sold. Use the formula to determine the revenue generated by this item if 38 calculators are sold.
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Solution

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Solution Steps

To determine the revenue generated by selling 38 calculators, we can use the given formula \( R = 11.45 \times q \), where \( q \) is the number of calculators sold. By substituting \( q = 38 \) into the formula, we can calculate the revenue.

Step 1: Define the Revenue Formula

The revenue \( R \) generated by selling \( q \) calculators is given by the formula: \[ R = 11.45 \times q \]

Step 2: Substitute the Number of Calculators Sold

To find the revenue when \( q = 38 \), we substitute \( 38 \) into the formula: \[ R = 11.45 \times 38 \]

Step 3: Calculate the Revenue

Calculating the above expression gives: \[ R = 11.45 \times 38 = 435.1 \]

Final Answer

The revenue generated by selling 38 calculators is \(\boxed{R = 435.1}\).

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