Answer:
This does represent an exponential function , because his savings increase by a constant rate
Step-by-step explanation:
Let
x -----> the number of weeks
y ----> the amount saved
In this problem we have a exponential function of the form
[tex]y=a(b)^{x}[/tex]
where
a is the initial value
b is the base
r is the rate of change
where
[tex]a=\$6[/tex]
[tex]r=100\%=100/100=1[/tex] ---- because he doubles the amount each week
[tex]b=1+r[/tex] ----> [tex]b=1+1=2[/tex]
substitute
[tex]y=6(2)^{x}[/tex]
therefore
This does represent an exponential function , because his savings increase by a constant rate
