Interpret the following exponential function: y = 6 (1.07) ^x what is the growth/decay factor? what is the y-intercept? a. decay factor is 6; y-intercept is 1.07 b. decay factor is 1.07; y-intercept is 6 c. growth factor is 6; y-intercept is 1.07 d. growth factor is 1.07; y-intercept is 6

option d is correct.

Growth factor is 1.07;

y-intercept is 6

Step-by-step explanation:

An exponential function is given by:

where, a is the initial amount.

If b > 1, then this is exponentially growth function.

If 0<b<1, then this is exponentially decay function.

As per the statement:

The exponential function is:

On comparing with [1] we have;

Since, b = 1.07 > 1

this is a exponential growth function.

⇒the growth factor = 1.07

Now: find y-intercept:

y-intercept:

Substitute x = 0 ans solve for y:

then;

⇒

Simplify:

therefore, the Growth factor is 1.07 and the y-intercept is 6

30 units^2

step-by-step explanation:

area is l × w

the length is 3

and the width is 10

3 × 10= 30 units squared

step-by-step explanation: