SOLUTION: You depart at 9am on a snowshoe trek. The snow is deep along the trail. For each hour you hike, you are traveling 1.5 miles. For each mile, you are using up 550 calories of ener

Question 414450: You depart at 9am on a snowshoe trek. The snow is deep along the trail. For each hour you hike, you are traveling 1.5 miles. For each mile, you are using up 550 calories of energy. Write and equation to predict the time at which you will have "burned up" all the energy from your 1600-calorie breakfast.
Translating words and numbers into an equation still has not clicked for me. My instructor makes it look so easy when she does the problem in class. It is not so easy for as I'm still trying to "see" how the equation is created. Thanks for the help.
Answer by ankor@dixie-net.com(22740) (Show Source): You can put this solution on YOUR website!
You depart at 9 AM
For each hour you hike, you are traveling 1.5 miles.
For each mile, you are using up 550 calories of energy.
Write and equation to predict the time at which you will have "burned up" all
the energy from your 1600-calorie breakfast.
:
Let t = time in hrs to burn 1600 calories
:
We know that the total amt of calories expended will be:
550 * 1.5 * t
:
Find t when it equals 1600 calories
550 * 1.5 * t = 1600
825t = 1600
t =
t = 1.9393 hrs, which is 1 + .9393*60 ~ 56 minutes
:
So the time you run out of energy:
9:00 + 1:56 = 10:56. AM
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