Achild takes a nap averaging three hours and gets an average of 12 hours of sleep at night. nap time and night time sleep can each vary by 30 minutes. what are the possible lengths for the child's nap and night time sleep

answer: the answer is one of

step-by-step explanation:   we are given to write a proper fraction where the whole is divided into an even number of equal parts less than ten, and an odd number of those parts exist.

an even number less than 10 may be one of 2, 4, 6 or 8. so, the whole may be one of these four evens.

now, an odd number of these parts must exist, so the numerator must be an odd number, one of 1, 3, 5 or 7. it cannot be 9 because then the fraction will become improper.

thus, our fraction may be one of the following

the formula of a slope:

we have the points (-2, 7) and (2, 3). substitute: