The n number of homeruns hit during the regular season by a certain baseball player can be modeled by the function n(x) =3/4x, where x is the number of games that have been played. find the average rate of change from game 12 to game 60.

The average rate of change is equal to

Step-by-step explanation:

we have

-----> this is a linear direct variation

we know that

The rate of change of a linear variation is a constant

The rate of change of a linear variation is equal to the slope of the line

In this problem the slope of the line is equal to

therefore

The average rate of change is equal to

Verify

the average rate of change is equal to

In this problem we have

Substitute

f(x) has value 150 at x= 0

and 0 at x= 3

so d(f(x))/dt = slope = -150/3 = -50