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Zack is taking a test in which he answers questions at a rate of 1/2 question per minute. If Q represents questions and M represents minutes, which of the following equations describe this rate relationship?

Q = 1/2 * M

M = 2 * Q

M = 1/2 * Q

Q = 2 * M

Q = number of questions answered (the dependent variable)

M = minutes (the independent variable)

Therefore a linear relation between M and Q is of the form

Q = m*M + c

where m = the slope or the rate of questions answered per minute.

Because no questions are answered to begin, c = 0

The rate at which questions are answered is 1/2 questions per minute, therefore m = 1/2.

The relationship is

Q = (1/2) x M

Answer: Q = (1/2) x M