Question

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?

Answer 1

Answer:the correct answer is option D

The constant 10 refers to the cost of setting up the food stall even if no cheeseburger was sold.

Explanation:

Answer 2

The problem is as shown in the attached figure.
The given function is
`f(x) = (60x)/(x+3) +10`
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