For a function to be continuous at an x-value, say -17, you need to make sure two things line up:
The limit from the left equals the limit from the right.
This limit equals the functions value.
The left hand limit involves the first piece, f(x) = 20x + 1:
The right hand limit invovles the second piece, f(x) = -10x^2:
Since the two one-sided limits don't match, the function is not continuous at x=-17.
Answer:
$ 15.79
Step-by-step explanation:
Let x be the price of full ticket,
∵ Total number of tickets = 4000,
Quarter of 4000 tickets = = 1000,
Remaining tickets = 4000 - 1000 = 3000,
Since, if the price of each ticket is reduced by 20%,
Then the new price of each ticket = (100 - 20)% of x
= 80% of x
= 0.80x,
According to the question,
The total price of quarters of ticket + total price of remaining tickets = $ 60000
= 0.80x × 1000 + x × 3000 = 60,000
800x + 3000x = 60,000
3800x = 60,000
⇒ x ≈ 15.79
Hence, the price of full ticket is approximately $ 15.79.