Check-Ins 2 NC Math 1

What is the difference in the maximum amounts of profit the two carnivals can

make?

The function fx) - "0. 522 + 5x - 6 models the profit, in thousands of dollars,

a camival makes it it sells x thousands of tickets. This table shows the amount

of profit another camival makes based on the number of tickets sold. The

function in the table is quadratic.

$100

Tickets Sold

(in thousands)

(x)

Profit

(thousands of $)

(y)

$500

0

-8. 0

2

1. 6

6. 4

C

$1,000

4

5

7. 0

6

6. 4

D

$1,500

1. 6

8

10

-8. 0

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The maximum amount of profit the carnival makes based on the number of tickets sold is 6.5 thousand of dollars,

How to determine the difference?

The function is given as:

f(x) = -0.5x^2 + 5x - 6

Differentiate the function

f'(x) = -x + 5

Set to 0

-x + 5 = 0

Make x the subject

x = 5

Substitute x = 5 in f(x)

f(5) = -0.5 * 5^2 + 5 * 5 - 6

f(5) = 6.5

The table is not given.

Hence, the maximum amount of profit the carnival makes based on the number of tickets sold is 6.5 thousand of dollars,

Read more about quadratic functions at:

https://brainly.com/question/18797214

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