For a magic show, a magician burns 320 calories per hour performing card tricks. Write a function rule to represent the total calories burned over time by the magician. Explain how the information in the problem relates to the function.
To write a function rule that represents the total calories burned over time by the magician, you'll need to determine the independent and dependent variables in this scenario.
In this case, the independent variable is the time (in hours) the magician spends performing card tricks. The dependent variable is the total calories burned by the magician during that time.
Let's denote the independent variable as "t" (representing time in hours) and the dependent variable as "c" (representing the total calories burned).
From the given information, we know that the magician burns 320 calories per hour performing card tricks. This means that for every hour the magician performs, they will burn 320 calories.
Therefore, the function rule that represents the total calories burned over time by the magician would be:
c = 320t
To explain how this function relates to the given information, we can break it down like this:
- The function rule c = 320t tells us that the total calories burned (c) is equal to the rate of calories burned per hour (320) multiplied by the time spent performing card tricks (t).
- By plugging in different values for "t," we can calculate the total calories burned. For example, if the magician spends 2 hours performing card tricks, the total calories burned would be 320 * 2 = 640 calories.
- This function rule allows us to calculate the total calories burned for any amount of time the magician spends performing card tricks.