Question

There were 800 farmers' markets initially in the USA in 2012. In 2013, the number of farmers' markets was 1.25 times the initial number of farmers' markets. Then, in 2014, the number of farmers' markets was 1.25 times the number of farmers' markets the previous year. If this pattern continues, which of the following graphs represents the number of farmers' markets in the USA over time?

Answer 1

For this case we have a function of the form:
 $y = A * (b) ^ x$
 Where,
 A: it is the initial amount
 b: is the growth rate
 x: is the number of years
 Substituting values we have:
 $y = 800 * (1.25) ^ x$
 We have a growing exponential function because the value of b is greater than 1.
 Answer:
 See attached image.

Answer 2

Answer:

The attached image:

Initial Number of markets was 800

As time go by, muiltply 1.5

The equation:

y=800(1.25)^x

First year= 1,000

Second year= 1,250

and so on... (using the equation and replace x with the Years after)