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. \

$$\begin{tabular}{|c|c|c|c|} \\hline \\multicolumn{4}{|c|}{test time} \\\\ \\hline & number of questions & time per item (minutes) & total time (minutes) \\\\ \\hline multiple choice & $m$ & 3 & $3m$ \\\\ \\hline free response & $15 - m$ & 8 & $x$ \\\\ \\hline total & 15 & & 55 \\\\ \\hline \\end{tabular}$$

which value could replace $x$ in the table? \bigcirc $7 - m$ \bigcirc $23 - m$ \bigcirc $8(15 - m)$ \bigcirc $8(15) - m$

Explanation:

Step1: Recall 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 \(x = 8\times(15 - m)\), which is \(8(15 - m)\).

Answer:

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