The following expression models the total money earned be setting up a food stall at a funfair, where x represents the number

4 answers
Question:

The following expression models the total money earned be setting up a food stall at a funfair, where x represents the number of cheeseburgers.
60x
—— - 10
x+3
what does the constant term in the above expression represent?

Answers

C is correct option.

The constant 10 represents the cost of setting up the food stall even if no cheeseburger were sold.

Step-by-step explanation:

We are given expression [tex]\dfrac{6x}{x+3}+10[/tex]

Let us suppose f(x) is total money earned by setting up a food stall at a funfair.

where, x represents the total number of cheeseburger were sold.

Therefore, [tex]f(x)=\dfrac{6x}{x+3}+10[/tex]

We need to collect the information about constant 10.

If we put x=0 into f(x)

f(0)=10

10 is a money earn when no cheeseburger sold.

It means 10 would be initial cost of setting up of Food stall.

Thus, The constant 10 represents the cost of setting up the food stall even if no cheeseburger were sold.

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.

Step-by-step explanation:

After a thorough search, I found the same question on the internet. Please refer to the attached picture. If it's the same one with yours, then the answer is letter C - The constant 10 refers to the cost of setting up the food stall even if no cheeseburger was sold.

It is like a fixed cost that is incurred by the food stall that they need to pay for not considering the sales or income they would earn.

[tex]The following expression models the total money earned by setting up a food stall at a funfair, wher[/tex]

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

[tex]The following expression models the total money earned by setting up a food stall at a funfair, wher[/tex]

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