A 145-lb person burns 420 calories per hour ridding an exercise bicycle at a rate of 15 mi/he write a function rule to represent the total calories but over time by that person. Explain how the information in the problem relates to the function
The function rule to represent the total calories burned over time by the 154 lb person is C(t) = 420t, where C(t) is the total calories burned and t is the time in hours.
The information in the problem relates to the function rule because the rate of calories burned per hour (420) is multiplied by the time in hours (t) to calculate the total calories burned (C(t)).
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To write a function rule that represents the total calories burned over time, we need to consider the information given in the problem.
First, we know that the person is burning 420 calories per hour while riding the exercise bicycle at a rate of 15 mph. This means that for every hour of riding, they burn 420 calories.
Next, we can consider the time they spend riding the bicycle. Let's assume that the person rides for t hours.
Based on this information, we can write the function rule as follows:
Total calories burned = 420 * t
In this function, t represents the number of hours the person has ridden the bicycle, and 420 represents the number of calories burned per hour.
For example, if the person rides the exercise bicycle for 2 hours, the function rule will give us:
Total calories burned = 420 * 2
= 840 calories
So, in this case, the person would burn 840 calories in total.
By using this function rule, we can calculate the total calories burned for any given amount of time spent riding the exercise bicycle.