Question

Transcribed image text: Decide whether the following statement makes sense (or is clearly true) or does not make sense (or is clearly false). Explain your reasoning The price of tuition has quadrupled since my parents went to school—that's a 300% increase in price, Choose the correct answer below.

A. The statement makes sense. The percent increase is always divided by 75 to find the factor by which the original price has changed.
B. The statement makes sense. A 300% increase in price corresponds to a price that is 400% of the original price
C. The statement does not make sense. If the tuition quadruples, then the price increases by 400%
D. The statement does not make sense. If the tuition quadruples, then the price increases by 200%.

Answer 1

The correct answer is B, a 300% increase in price corresponds to a price that is 400% of the original price as it includes the original 100% plus the 300% increase.

Step-by-step explanation:

The student is asking about calculating percentage increases, particularly in relation to the cost of tuition. The correct answer to whether the statement makes sense is B. The statement makes sense. A 300% increase in price corresponds to a price that is 400% of the original price. This is because if the original price is considered 100%, and we have quadrupled that price, we have increased it by an additional 300% (for a total of 400%, which includes the original amount).

The correct answer is D. The statement does not make sense. If the tuition quadruples, then the price increases by 200%.The statement in the question says that the price of tuition has quadrupled, which means it has increased by four times. A quadruple increase corresponds to a 300% increase, not 200%. Therefore, the statement is falseA 300% increase in price corresponds to a price that is 400% of the original price.