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)xy = 500(1.05)xy = 500(0.1025)xy = 500(1.1025)x

Step-by-step explanation:

The exponential growth equation is given by :-

             (1)

, where A is the initial value of ,  r is the rate of growth ( in decimal) and t is the time period ( in years).

Given : 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.

Put A= 500 ;  t= 2 and y= 551.25 in (1), we get

Taking square root on both sides , we get

Now, put A= 500 and r= 0.5 in (1), we get the equation represents y, the value of the item after x years as :

c

step-by-step explanation: