Mario and luigi are comparing their daily caloric intake. each day luigi chooses 100-calorie snacks such as carrots while mario chooses to snack on chips and candy that have 200 calories each.
Luigi: (1,100), (2,200), (3,300)
Mario: (1,200), (2, 400), (3,600)
What does the rate of change for each line represent?
What is Mario's rate of change? and what is Luigi's rate of change?
How does Mario's rate of change compare to Luigi's rate of change? Why are the two rates different from one another?
The rate of change for each line represents the amount of calories consumed by Luigi and Mario on each day.
For Luigi:
Rate of change = Change in calories consumed / Change in days = (200 - 100) / (2 - 1) = 100 / 1 = 100
For Mario:
Rate of change = Change in calories consumed / Change in days = (400 - 200) / (2 - 1) = 200 / 1 = 200
Mario's rate of change is 200 and Luigi's rate of change is 100.
Mario's rate of change is higher than Luigi's rate of change. The reason for this difference is because Mario chooses snacks with a higher calorie content (200 calories each) compared to Luigi's snacks (100 calories each). Therefore, Mario's calorie intake increases more rapidly compared to Luigi's as he consumes snacks with double the caloric value.