The following expression models the total money earned by setting up a food stall at a funfair, where x represents the number of cheeseburgers sold. What does the constant term in the above expression represent?
The problem is as shown in the attached figure. The given function is [tex] f(x) = \frac{60x}{x+3} +10[/tex] Which represents the total money earned by selling x number of cheeseburgers.
If the x = 0 which mean there is no cheeseburgers were sold
∴ f(x) = 10 ⇒⇒ ( the constant term )
So, the correct answer is option 3
The constant 10 refers to the cost of setting up the food stall even if no cheeseburger was sold.
========================================== Option (1) is wrong because The cost of each cheeseburgers is obtained by substitute in the given function with x =1 without the constant term.
option (2) is wrong because the constant term is a cost and not the number of cheeseburgers option (3) is wrong because the total money earned is the entire f(x) not the constant term only
