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

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

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