Answer:
option d is correct.
Growth factor is 1.07;
y-intercept is 6
Step-by-step explanation:
An exponential function is given by:
[tex]y = ab^x[/tex]
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:
[tex]y = 6 \cdot (1.07)^x[/tex]
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;
[tex]y = 6 \cdot (1.07)^0[/tex]
⇒[tex]y = 6 \cdot 1[/tex]
Simplify:
[tex]y = 6[/tex]
therefore, the Growth factor is 1.07 and the y-intercept is 6
