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?
A. Graph W
B. Graph X
C. Graph Y
D. Graph Z
No graphs. Cannot copy and paste here.
since you seep multiplying by 1.25, it will be an exponential function.
it is graph z. in the question it says there are 800 farmers markets in 2012 and by 2013 there are 1.25 times more. so all you have to do is multiply 800 by 1.25 to get 1000. the graph shows years after 2012 so the point is (1,1000) because 2013 is 1 year after 2012 and there are 1000 farmers markets in 2013
Graph Z
To determine which graph represents the number of farmers' markets in the USA over time, let's examine the given information and analyze the growth pattern.
We are given that in 2012, there were initially 800 farmers' markets.
In 2013, the number of farmers' markets was 1.25 times the initial number (800) of farmers' markets. Therefore, the number of farmers' markets in 2013 can be calculated as 1.25 * 800 = 1000.
In 2014, the number of farmers' markets was 1.25 times the previous year's number of farmers' markets (1000). Thus, the number of farmers' markets in 2014 is 1.25 * 1000 = 1250.
If this pattern continues, we can continue to find the number of farmers' markets for subsequent years:
In 2015, the number of farmers' markets will be 1.25 times the previous year's number of farmers' markets (1250). Therefore, in 2015, there will be 1.25 * 1250 = 1562.5 farmers' markets. Since we cannot have a fraction of farmers' markets, we would consider this as 1562.
In general, for subsequent years, the number of farmers' markets can be calculated as 1.25 times the previous year's number of farmers' markets.
Now let's analyze the given graphs:
Graph W shows a constant number of farmers' markets over time. This graph does not match the given information or the growth pattern.
Graph X shows exponential growth in the number of farmers' markets over time. This graph does not match the given information or the growth pattern.
Graph Y shows linear growth in the number of farmers' markets over time. This graph does not match the given information or the growth pattern.
Graph Z shows linear growth in the number of farmers' markets over time, with each year having an increase of 250 farmers' markets. This graph matches the given information and the growth pattern. Starting from 800, each subsequent year increases by 250 farmers' markets.
Based on the analysis, the correct answer is D. Graph Z, which represents the number of farmers' markets in the USA over time.