Sample Test Item Preview



This document was generated on CPALMS - www.cpalms.org

General Information

Related Standards: 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

Aligned Standards

Code Description
MAFS.912.A-CED.1.3: Represent constraints by equations or inequalities, and by systems of equations and/or inequalities, and interpret solutions as viable or non-viable options in a modeling context. For example, represent inequalities describing nutritional and cost constraints on combinations of different foods. ★


Printed On:4/26/2024 10:16:51 PM
Print Page | Close this window