Respuesta :
Answer:
The minimum ticket price is $2.
Step-by-step explanation:
The inequality is given by
- 100x² + 15750x + 212500 ≥ 243600
⇒ - 100x² + 15750x - 31100 ≥ 0
⇒ - 2x² + 315x - 622 ≥ 0
⇒ -2x² + 311x + 4x - 622 ≥ 0
⇒ (2x - 311)(2 - x) ≥ 0
Now, either (2x - 311) ≥ 0 and (2 - x) ≥ 0
⇒ x ≥ 155.5 and x ≤ 2, which is not possible.
Or, (2x - 311) ≤ 0 and (2 - x) ≤ 0
⇒ x ≤ 155.5 and x ≥ 2, which is a valid range of x-value.
Therefore, the minimum ticket price is $2. (Answer)
Answer:
Exact answer!!
Subtract 243,600 from both sides of the inequality:
-100x2 + 15,750x + 212,500 ≥243,600
-100x2 + 15,750x + 212,500 − 243,600≥0
-100x2 + 15,750x − 31,100 ≥0
