Question

Alex has saved $3. He doubles the amount he saves each week. Does this represent an exponential function? if so why and if not why ? please bexplain

Answer 1

This $6(2)x^{n-1}$ represent an exponential function, because his savings increase by a constant factor of 2.

It is given that,

Luis has saved $3 and he doubles the amount each week.

So, the amount saved in the next week = 3×2 = 6

This gives the amount saved in the third week = 6×2 = 12

So, we get the sequence 3,6,12...

It can be written as, 3×2⁰, 3×2¹, 3×2², 3×2³,.....

So, the sequence in the exponential form , where 'n' is a natural number.

Also, 3,6,12...

The numbers are increasing by the factor =

Hence, we get,

This $6(2)x^{n-1}$ represent an exponential function, because his savings increase by a constant factor of 2.