Question

students are given 3 minutes to complete each multiple-choice question on a test and 8 minutes for each free-response question. there are 15 questions on the test and the students have been given 55 minutes to complete it.

test time	number of questions	time per item (minutes)	total time (minutes)
free response	( 15 - m )	8	( x )
total	15		55

which value could replace ( x ) in the table?

• ( 7 - m )
• ( 23 - m )
• ( 8(15 - m) )
• ( 8(15) - m )

Explanation:

Step1: Understand Total Time Formula

Total time for a type of question is number of questions times time per item. For free - response, number of questions is \(15 - m\) and time per item is 8 minutes.

Step2: Calculate Total Time for Free - Response

Using the formula \(Total\ Time=Number\ of\ Questions\times Time\ per\ Item\), substitute the values for free - response. So \(x=(15 - m)\times8 = 8(15 - m)\).

Answer:

\(8(15 - m)\) (corresponding to the option "8(15 - m)")