Final answer:
The correct mathematical representation of the statement 'The cost of a shirt is less than $27.50' is 'c < 27.50'. Therefore, option (B) c < 27.50 is the answer that represents the situation correctly.
Step-by-step explanation:
The student's question regards interpreting a statement about the cost of a shirt and translating it into a mathematical inequality. The statement "The cost of cod a shirt is less than $27.50" likely contains a typo and should be "The cost of a shirt is less than $27.50." Given the provided information, the appropriate mathematical representation of this statement is c < 27.50, where 'c' denotes the cost of the shirt.
To solve this, we compare the given options with the statement:
- (A) c > 27.50 means the cost is more than $27.50, which is incorrect.
- (B) c < 27.50 denotes the cost is less than $27.50, which correctly represents the situation.
- (C) c = 27.50 means the cost is exactly $27.50, which does not match the "less than" condition.
- (D) 27.50 is not a complete inequality statement and does not include a variable for comparison, thus it is incorrect.
Therefore, the correct answer is (B) c < 27.50.