Question

quadratic data
ticket price (omuary) profit (millions of cedars)
200 3.08
250 3.52
300 3.70
350 3.82
400 3.70
450 3.36
analyze the data represented in the table and select the appropriate model
a exponential
b linear
c none
d quadratic

Explanation:

Step1: Analyze Trend

Check how Profit changes with Ticket Price. Profit increases then decreases (200→350: up; 350→450: down), forming a parabola - like shape.

Step2: Compare Models

• Exponential: Either increasing/decreasing exponentially, not matching (profit peaks then drops).
• Linear: Would have constant slope, but here slope changes from positive to negative.
• Quadratic: Models parabola (symmetric, peaks then drops), matches the data trend.

Answer:

D. quadratic