Question

when buying tickets to a play online, they cost $12.75 per c, of n people buying tickets for the play using either metho have to buy for the cost to be the same. use pencil and pap you have to buy 5.33 tickets for the cost to be the same. (type a whole number.)

Explanation:

Step1: Define cost equations

Let online cost: $c_1 = 12.75n$
Let offline cost: $c_2 = 30 + 7.5n$ (from left graph intercept/slope)

Step2: Set costs equal

$12.75n = 30 + 7.5n$

Step3: Isolate n term

$12.75n - 7.5n = 30$
$5.25n = 30$

Step4: Solve for n

$n = \frac{30}{5.25} \approx 5.71$

Step5: Round to whole number

Since we need whole tickets, round up to the next integer where costs match or exceed equality.

Answer:

6