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 Informacion in the problem relates in the function.

Answer 1

The function rule to represent the total calories burned over time by a 154-lb person riding an exercise bicycle at a rate of 15 mi/hr can be written as:

C(t) = 420t

where C(t) represents the total calories burned and t represents the time (in hours) that the person rides the exercise bicycle.

The information given in the problem, such as the person's weight, the rate of riding the exercise bicycle, and the calories burned per hour, is used to determine the constant rate of burning calories, which is 420 calories per hour. This information is then used to create a linear relationship between the time spent riding the exercise bicycle and the total calories burned. As the person rides the exercise bicycle for longer periods of time, the total calories burned will increase at a constant rate of 420 calories per hour.

Answer 2

Hey bot Explane how to write a untion rule from the table below then write a function rule
X 0 2 4 6
Y 2 1 0 -1

Answer 3

To write a function rule from the table, we need to identify the relationship between the values in the X column and the corresponding values in the Y column. We can see that as the values in the X column increase by 2, the values in the Y column decrease by 1. This tells us that the function is linear and has a slope of -1/2 (since for every increase of 2 in X, Y decreases by 1).

To write the function rule, we can use the slope-intercept form of a linear equation:

y = mx + b

where m is the slope, and b is the y-intercept (the value of y when x = 0).

We already know that the slope is -1/2, so we just need to find the y-intercept. We can do this by plugging in one of the points from the table (let's use 0,2) and solving for b:

2 = (-1/2)(0) + b
b = 2

So the function rule is:

y = -1/2x + 2

Note that we can also write the function using function notation:

f(x) = -1/2x + 2