Decide whether the function is an exponential growth or exponential decay function, and find the constant percentage rate of growth or decay. (2 points) f(x) = 7.2 ⋅ 1.08x

For this case we have a function of the form:

Where,

A: amount or initial value

b: rate of change

x: independent variable

y: dependent variable

We have two possible cases:

If 0 <b <1:

The exponential function is decreasing

if b> 1:

the exponential function is increasing.

For this case we have the following function:

For this case we have to:

Therefore, the exponential function is increasing.

The percentage of growth is:

The exponential function is increasing.

The exponential function grows 8% for each value of x.

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