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Question

3. In 2007, Jerry Rice held the record for scoring the most touchdowns in NFL history. The table shows the total number of touchdowns Rice scored in his career after the number of years since 1985 (0 represents 1985, 1 represents 1986, etc.) Use a graphing calculator’s best-fitting quadratic model for the data to help you answer the following questions.

Years since 1985	0	3	6	9	12	15	18
Career touchdowns	4	53	97	138	164	185	203

a. What would be a reasonable guess for the number of touchdowns after 10 seasons?						b. Use the data to support which season saw Jerry Rice’s 150th touchdown.
c. Why are the domain and range important to contextualize in this problem?

4. Stephen is trying to kick a 44-yd field goal. The path of the football arcs according to the formula: .

a. Stephen needs to kick the ball high enough to avoid blockers 8 yards away at the line of scrimmage. Will this kick reasonably do this?				b. If the goal post is 10-ft high, should this be a successful kick (assuming his aim is good)?
c. How high does the ball travel?	d. How far beyond the goal post should someone stand to catch the ball when it is approximately 4 feet off the ground?

Answer 1

For the first question, are the number of career touchdowns cumulative or are the number of touchdowns he's had each year since 1985? For an example, if the number of touchdowns are cumulative, then the number of touchdowns up to year 3 would add up to 53. Thank you!