A 128-lb person burns 320 calories per hour riding an exercise bicycle at a rate of 10 mi/hr. a) Write a function rule to represent the total calories burned over time by that person. b) Explain how the information in the problem relates to the function.

Help please!!!

There is a question similar to this on my test.

For mine it's 154 -Ibs and that he burns 420 calories on a bike. And, that you have to write a function and explain stuff.

SO HERES MY ANSWER:

It says he burns 420 calories every hour
so in 1 hour, 420
in 2 hours , 840 ...

SO the answer is= 420t

The rest is just babble intended to confuse the enemy (students)
I think the teachers hate us lol

ANYWAYS, your welcome folks

Lord, it is a rate problem

Rate problem:
quantity=rate*time

calories=320cal/hr * timeinhours

To write a function rule representing the total calories burned over time by a person, we need to understand how the calories burned relates to the rate of exercise.

Let's break down the information given in the problem:

1. The person weighs 128 lbs.
2. The person burns 320 calories per hour.
3. The person is riding an exercise bicycle at a rate of 10 mi/hr.

From this information, we can make an assumption that the calories burned are proportional to the distance covered. To find the proportionality constant, we need to find the calories burned per mile.

We can do this using the following steps:

1. Convert the weight from pounds to kilograms. 1 lb is equivalent to 0.453592 kg. So, 128 lbs is approximately equal to 58.06 kg.
2. Convert the rate from miles per hour to meters per hour. 1 mile is equal to 1609.34 meters. So, 10 mi/hr is approximately equal to 16093.4 meters/hr.
3. Calculate the calories burned per mile. Divide the total calories burned (320) by the distance covered in meters (16093.4). This gives us approximately 0.01986 calories per meter.

Now, we can create the function rule:

Let C represent the total calories burned.
Let D represent the distance covered in meters.

We can write the function rule as:

C = 0.01986 * D

The function rule represents the total calories burned (C) as a function of the distance covered (D) in meters. The proportionality constant of 0.01986 indicates the calories burned per meter.

In summary, the information provided in the problem allows us to find the proportionality between the total calories burned and the distance covered. We then use this information to write the function rule that represents the relationship between the calories burned and the distance covered.