Question

Luis has saved $6. He doubles the amount he saves each week.Does this represent an exponential function?Complete: this______ represent an exponential function , because his savings increase by a constant______. Thank you so much in advanced ?

Answer 1

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

$y=a(b)^{x}$

where

a is the initial value

b is the base

r is the rate of change

where

$a=\ 6$

$r=100\%=100/100=1$ ---- because he doubles the amount each week

$b=1+r$ ----> $b=1+1=2$

substitute

$y=6(2)^{x}$

therefore

This does represent an exponential function , because his savings increase by a constant rate