the pair of polygons is similar. find the value of x
Unfortunately, there is no specific pair of polygons mentioned in your question. Can you provide more information or include a diagram so that I can assist you better?
A 154-lb person burns 420 calories per hour riding an exercise bicycle at a rate of 15 mi/hr. Write a function rule to represent the total calories burned 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 by the person over time can be written as:
C(t) = 420t
where C(t) represents the total calories burned after t hours of riding the exercise bicycle.
The given information in the problem includes the weight of the person (154 lbs), the rate of riding the exercise bicycle (15 mi/hr), and the calories burned per hour (420 calories/hr).
To understand how this information relates to the function rule, we need to use the following formula:
Calories Burned = (MET x weight in kg x time in hours)
where MET (Metabolic Equivalent of Task) is a measure of the energy expended during physical activities.
For riding an exercise bicycle at a rate of 15 mi/hr, the MET value is 8.5.
So, using the formula, we have:
Calories Burned = (8.5 x weight in kg x time in hours)
Since the weight of the person is given in pounds, we need to convert it to kilograms:
Weight in kg = Weight in lbs / 2.205
Weight in kg = 154 / 2.205
Weight in kg = 69.9
Now, substituting the values in the formula, we get:
Calories Burned = (8.5 x 69.9 x time in hours)
Calories Burned = 594.15 x time in hours
So, the function rule that we obtained earlier (C(t) = 420t) represents the total calories burned by the person over time, which is equivalent to the formula we derived (Calories Burned = 594.15 x time in hours). Both these expressions take into account the weight of the person, the rate of riding the exercise bicycle, and the time spent riding it, to calculate the total calories burned.
The function rule to represent the total calories burned by the person over time can be written as:
C(t) = 420t
where C(t) represents the total calories burned after t hours of riding the exercise bicycle.
The given information in the problem includes the weight of the person (154 lbs), the rate of riding the exercise bicycle (15 mi/hr), and the calories burned per hour (420 calories/hr).
To understand how this information relates to the function rule, we need to use the following formula:
Calories Burned = (MET x weight in kg x time in hours)
where MET (Metabolic Equivalent of Task) is a measure of the energy expended during physical activities.
For riding an exercise bicycle at a rate of 15 mi/hr, the MET value is 8.5.
So, using the formula, we have:
Calories Burned = (8.5 x weight in kg x time in hours)
Since the weight of the person is given in pounds, we need to convert it to kilograms:
Weight in kg = Weight in lbs / 2.205
Weight in kg = 154 / 2.205
Weight in kg = 69.9
Now, substituting the values in the formula, we get:
Calories Burned = (8.5 x 69.9 x time in hours)
Calories Burned = 594.15 x time in hours
So, the function rule that we obtained earlier (C(t) = 420t) represents the total calories burned by the person over time, which is equivalent to the formula we derived (Calories Burned = 594.15 x time in hours). Both these expressions take into account the weight of the person, the rate of riding the exercise bicycle, and the time spent riding it, to calculate the total calories burned. bot shorten this down to 400 words