Question

Tell whether the relationship should be represented by a continuous or discrete graph. Explain.

Answer 1

C. both number of tickets sold and cents are discrete not continuous

Answer 2

Answer: The correct option is C.

Step-by-step explanation:

The data we have is:

The price is $200, and each ticket costs $2.50

Then we can write the profit as:

P(X) = $2.50*X - $200

Where X is the number of tickets sold.

Now, X can only be a whole number (you can not sell 21.512421 tickets)

So the values of P(X) can be:

P(0) = $2.50*0 - $200 = - $200

P(1) = $2.50*1 - $200 = -$177.50

and so on, so if the value of X is discrete, then also the value of P is discrete, so we should have a discrete graph.

The correct option is C.