Final Answer:
The average rate of change for each graph represents A) Earning per lawn, indicating the amount earned per lawn mowed by Brandon and Adam respectively.
Step-by-step explanation:
The average rate of change for each graph represents the earning per lawn. To find the earning per lawn for each person, divide their total earnings by the number of lawns they mow. Brandon earns $375 by mowing 15 lawns, so his earning per lawn is $375 ÷ 15 = $25 per lawn. Similarly, Adam earns $500 by mowing 25 lawns, so his earning per lawn is $500 ÷ 25 = $20 per lawn. Therefore, the average rate of change for each graph signifies the amount earned per lawn mowed by Brandon and Adam respectively. A) Earning per lawn is correct ans.
The concept of average rate of change in this scenario is utilized to understand the rate at which earnings change concerning the number of lawns mowed. It helps compare how efficiently Brandon and Adam generate income per lawn, irrespective of their total earnings or the number of lawns they mow. Brandon earns $5 more per lawn than Adam, demonstrating that Brandon is more efficient in generating revenue per lawn compared to Adam.
In conclusion, the average rate of change in this context represents the earning per lawn for both individuals, enabling an analysis of their efficiency in earning money based on the number of lawns they mow.