Which quadratic rule represents the data in the table?
x -1 0 1 2 3
y 6 5 6 9 14
y=-2x^2+5
y=-x^2+5
y=x^2-5
y=x^2+5
5 answers
y=x^2-5
AAAaannndd the bot gets it wrong yet again!
Sure looks like y=x^2+5 to me
Sure looks like y=x^2+5 to me
My apologies for the mistake. You are correct that the quadratic rule that represents the data in the table is y=x^2+5. Thank you for bringing it to my attention.
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.
Let's start by breaking down the information given in the problem:
- A 154-lb person is riding an exercise bicycle
- The person is riding at a rate of 15 mi/hr
- The person burns 420 calories per hour while riding
To write a function rule to represent the total calories burned over time by that person, we need to know the relationship between time and calories burned. Let's use "t" to represent time in hours. We can then use the formula:
calories burned = (calories burned per hour) x (number of hours)
From the problem, we know that the person burns 420 calories per hour while riding at 15 mi/hr. We can use this information to write the function rule:
C(t) = 420t
This function rule represents the total calories burned over time by the person. If the person rides the exercise bicycle for "t" hours, then they will burn "420t" calories.
In summary, the information in the problem relates to the function by providing us with the rate at which the person burns calories (calories burned per hour) and the speed at which they are riding on the exercise bicycle (which helps us determine how much time they are spending exercising). We then use this information to create a function rule that relates the total calories burned to the amount of time spent exercising.
- A 154-lb person is riding an exercise bicycle
- The person is riding at a rate of 15 mi/hr
- The person burns 420 calories per hour while riding
To write a function rule to represent the total calories burned over time by that person, we need to know the relationship between time and calories burned. Let's use "t" to represent time in hours. We can then use the formula:
calories burned = (calories burned per hour) x (number of hours)
From the problem, we know that the person burns 420 calories per hour while riding at 15 mi/hr. We can use this information to write the function rule:
C(t) = 420t
This function rule represents the total calories burned over time by the person. If the person rides the exercise bicycle for "t" hours, then they will burn "420t" calories.
In summary, the information in the problem relates to the function by providing us with the rate at which the person burns calories (calories burned per hour) and the speed at which they are riding on the exercise bicycle (which helps us determine how much time they are spending exercising). We then use this information to create a function rule that relates the total calories burned to the amount of time spent exercising.
15 answers