Blake plays football, last year, he averaged 280 passing yards per game during his team's 9-game season. the school record for total passing yards in a season is 3114 yards. if blake increases his passing yards per game by 25% during this year's 9- game season, how close will he come to breaking the record?

The answer is 36 yards

Step-by-step explanation:

From the question, let us recall the following.

Blake plays football, his average for last year = 280 passing yard per game.

The school record for total  passing yards in a season is = 3114 yards

During the 9 game season, blake will increase his passing yards per game of =25%

Now, let us solve for how close will he break the record.

25% = 1.25

Therefore

1.25*280*9- 3114

=36 yards

Blake will break his record by 36 yards

i hope this is what you were looking for.

see attached graph

1 number

if we use a graphing calculator, there is only one such number that satisfies the conclusion of the mean value theorem, that is, a number such that

where the right-hand side is the average rate of change of f on the interval [0.5,0.75], which is the slope of the secant line.

in the attached graph, the black line is the secant line which has its slope as the average rate of change of f on [0.5,0.75], while the orange line is the only tangent line to the graph of f in the interval that satisfies the mvt conclusion.