Question

When the county fair opened its gates, 68 people entered the fairgrounds. After one hour, there were 1.5 times as many people on the fairgrounds as when the gates opened. After two hours, there were 1.5 times as many people on the fairgrounds as the previous hour. If this pattern continues, write the equation representing the number of people, y, at the fair x hours after the gates open. 

Answer 1

y=1.5x + 68

Explanation:

68 is the starting value and it increases by 1.5 every hour.

Answer 2

y = 68 ( 1.5) ^x

Explanation:

This is exponential growth

The formula is

y = ab^x where a is the initial amount and b is the growth rate

The initial amount is 68 and the growth rate is 1.5

y = 68 ( 1.5) ^x