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General Information
Related Benchmark: MAFS.912.A-CED.1.3
Reporting Category: Algebra: Creating Equations
Type: MC: Multiple Choice
Difficulty: N/A
Question:

The production cost, C, in thousands of dollars, for a toy company to manufacture a ball is given by the model C(x)=75+21x-0.72x², where x is the number of balls produced in one day, in thousands. The company wants to keep its production cost at or below $125,000. The graph shown models the situation.

What is a reasonable constraint for the model?

 

Answer Options:

A. begin mathsize 12px style negative 3.2 less or equal than x less or equal than 32.38 end style

B. begin mathsize 12px style 2.62 less or equal than x less or equal than 26.55 end style

C. begin mathsize 12px style negative 3.2 less or equal than x less or equal than 2.62 space a n d space 26.55 less or equal than x less or equal than 32.38 end style

D. begin mathsize 12px style 0 less or equal than x less or equal than 2.62 space a n d space 26.55 less or equal than x less or equal than 32.38 end style

Answer Key:
D