Let f(x)=ln(3x)+2.5 . what is the average rate of change of f(x) from 2 to 7? round your answer to the nearest hundredth.

The average rate of change of is .

.

We have to calculate the average rate of change, from varies to .

So, we calculate the value of at and calculate the average.

Here at ,

So,

.

Similarly,

Again,

Again,

Again,

Again,

Now Average Rate of change of from 2 to 7 will be,

.

On rounding it off to the nearest hundredth the average rate of change of is .

Hence the average rate of change of is .

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it's

37/3

step-by-step explanation:

step 1: simplify both sides of the equation.

7x+8(x+

1

4

)=3(6x−9)−8

7x+(8)(x)+(8)(

1

4

)=(3)(6x)+(3)(−9)+−8(distribute)

7x+8x+2=18x+−27+−8

(7x+8x)+(2)=(18x)+(−27+−8)(combine like terms)

15x+2=18x+−35

15x+2=18x−35

tep 2: subtract 18x from both sides.

15x+2−18x=18x−35−18x

−3x+2=−35

step 3: subtract 2 from both sides.

−3x+2−2=−35−2

−3x=−37

step 4: divide both sides by -3.

−3x

−3

=

−37

−3

x=

37

3