Each day, a young person should sleep 8 hours, plus hour for each year that the person is under 19 years of age. Assuming the relation is linear, write the equation relating hours of sleep y and age x where .

Question

Each day, a young person should sleep 8 hours, plus  hour for each year that the person is under 19 years of age. Assuming the relation is linear, write the equation relating hours of sleep y and age x where  . ​

Quizplus · Accepted Answer

The problem states that each year under 19 adds 1 hour to the recommended 8 hours of sleep, so we can use the equation y = mx + b, where m is the slope (11) and b is the y-intercept (8). Thus, the equation relating hours of sleep y and age x is:

y = 11x + 8

Substituting x = 15 (given in the problem) gives:

y = 11(15) + 8 = 173

Therefore, the equation is:

y = 11x + 8

and the answer is C.

Each Day, a Young Person Should Sleep 8 Hours, Plus