Answered

Experience the power of community-driven knowledge on IDNLearn.com. Ask your questions and receive prompt, detailed answers from our experienced and knowledgeable community members.

The following expression models the total money earned by setting up a food stall at a funfair, where [tex]x[/tex] represents the number of cheeseburgers sold:
[tex]\[
\frac{60x}{x+3} - 10
\][/tex]
What does the constant term in the above expression represent?

A. The constant -10 represents the cost of each cheeseburger at the food stall.
B. The constant -10 represents the total money earned by setting up the food stall.
C. The constant -10 represents the cost of setting up the food stall even if no cheeseburgers were sold.
D. The constant -10 represents the maximum number of cheeseburgers sold by the food stall at the funfair.

Sagot :

GinnyAnsweridn
To understand what the constant term [tex]\(-10\)[/tex] in the given expression [tex]\(\frac{60x}{x+3} - 10\)[/tex] represents, let's analyze each part of the expression.

Consider the term [tex]\(\frac{60x}{x+3}\)[/tex]:
- The numerator [tex]\(60x\)[/tex] suggests that the revenue is directly proportional to the number of cheeseburgers [tex]\(x\)[/tex] sold.
- The denominator [tex]\(x+3\)[/tex] causes the revenue to be reduced as it is divided by [tex]\(3\)[/tex] plus the number of cheeseburgers sold, indicating some kind of diminishing returns or an adjustment factor.

Now, let's look at the constant term [tex]\(-10\)[/tex]:
- This term is subtracted from the overall revenue represented by [tex]\(\frac{60x}{x+3}\)[/tex].
- A constant subtracted from a revenue function typically represents a fixed cost that needs to be paid regardless of the number of cheeseburgers sold.

Given these observations, the constant term [tex]\(-10\)[/tex] makes the most sense as a fixed cost that is subtracted from the revenue generated by selling cheeseburgers.

Therefore, the correct interpretation is:

C. The constant -10 represents the cost of setting up the food stall even if no cheeseburgers were sold.
Thank you for contributing to our discussion. Don't forget to check back for new answers. Keep asking, answering, and sharing useful information. Your questions deserve accurate answers. Thank you for visiting IDNLearn.com, and see you again for more solutions.