Question

Each day, a young person should sleep 9 hours plus 1 4 hour for each year that the person is under 18 years of age. Assuming the relation is linear, write the equation relating hours of sleep y and age x.

Answer 1

Answer:

$y(x) = 9 + 0.25*(18 - x)$

Step-by-step explanation:

We have the following variables:

y: hours of sleep

x: age

Each day, a young person should sleep 9 hours

This means that y is 9 added to something

plus 1 4 hour for each year that the person is under 18 years of age.

For each year the person is under 18 years of age, she should sleep 1/4 = 0.25h on top of the 9 hours.

So the equation relating hours of sleep y and age x is:

$y(x) = 9 + 0.25*(18 - x)$