Average Rate of Change
Identify the relevant information given to you in the application problem below. Use that information to answer the questions that follow.
Drake graduated from high school and moved away from home to begin college. When he arrived at the school, he was in great shape and ready to go, weighing in at 175 pounds. Eight months later, he was shocked to realize that he had put on 40 pounds and couldn't walk up two flights of stairs without breaking a sweat. He looked back at how his weight changed and recorded it in the table below. Use that table to answer the following questions.
Time, t, in months012345678
Weight, in pounds175184192199205210212214215
Determine Drake's average weight gain per month (Average Rate of Change) for the fall semester (Months 0 through 4). Round your answer to one decimal place.

Average Rate of Change =

Interpret your answer by completing the sentence below. Be sure to use units in your answer.

Drake gained on average per during the fall semester.
Determine Drake's average weight gain per month (Average Rate of Change) for the spring semester (Months 4 through 8). Round your answer to one decimal place.

Average Rate of Change =

Interpret your answer by completing the sentence below. Be sure to use units in your answer.

Drake gained on average per during the spring semester.
Determine Drale's average weight gain for the entire school year. Round your answer to one decimal place.

Average Rate of Change =

Interpret your answer by completing the sentence below. Be sure to use units in your answer.

Drake gained on average per during his first year of college.
Do the data points in the table define a perfectly linear function? .

During what time period is his weight gain perfectly linear? Month to month