Multiple Choice
In the context of business calculus, which of the following best describes the 'domain' of a function?
0. Functions
Introduction to Functions
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Suppose the profit from selling x units of a product is given by the function P(x) = 5x - 120. What is the profit if 49 units are sold?
A
$245
B
$125
C
$485
D
$365
Verified step by step guidance1
Step 1: Understand the problem. The profit function is given as P(x) = 5x - 120, where x represents the number of units sold. We are tasked with finding the profit when 49 units are sold.
Step 2: Substitute x = 49 into the profit function P(x). This means replacing x in the equation P(x) = 5x - 120 with 49.
Step 3: Perform the substitution: P(49) = 5(49) - 120. Simplify the multiplication first.
Step 4: After simplifying the multiplication, subtract 120 from the result of 5(49). This will give the profit when 49 units are sold.
Step 5: Verify the calculation to ensure accuracy and compare the result with the provided options to confirm the correct answer.
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