Question

Gasoline costs $2.99 per gallon. if the price per gallon increases an average of 6% per month, write a function that models the exponential growth of the pricing.
a) f(x)=1.06(2.99)^x
b) f(x)=2.99(1.06)^x
c) f(x)=[1.06(2.99)]^x
d) f(x)= 2.99/(1.06^x)

Answer 1

Let x = number of months from the starting month.
Each month the price is multiplied by 1.06, giving the 6% increase.
So after the first month the price becomes
\[2.99\times 1.06\]
and after the second month the price becomes
\[2.99\times 1.06\times 1.06\]
and for the third month the second month price is multiplied by 1.06 giving
\[2.99\times 1.06\times 1.06\times1.06\]
Can you see the correct choice now?

Answer 2

yes, i think it is B

Answer 3

Yes, B is the correct choice.

Answer 4

thanks for your help! :)

Answer 5

You're welcome :)