The value of a collector’s item is expected to increase exponentially each year. the item is purchased for $500. after 2 years, the item is worth $551.25. which equation represents y, the value of the item after x years?

y = 500(0.05)x

y = 500(1.05)x

y = 500(0.1025)x

y = 500(1.1025

Step-by-step explanation:

Given:  The value of a collector’s item is expected to increase exponentially each year.

The exponential growth equation is given by :

, where A is the initial cost , b is the growth factor per year and x is the number of years.

The cost of item A= $500

After 2 years, the item is worth $551.25 (y), then we have the following equation

When we substitute the values of A and b  in the standard equation, we get  equation represents y, the value of the item after x years will be:

72 is the answer to this problem

what is the graph

step-by-step explanation: