Problema Solution
Curtis will run 4 miles the first week of training and increase the mileage by one mile each week. With another schedule, Curtis will run 1 mile the first week and increase his total mileage by 2 miles each week. During what week do the two schedules break even? How many miles will Curtis run during this week?
Answer provided by our tutors
Let
x = the number of weeks
y = the miles run after x weeks
According to the first schedule:
y = x + 4
According to the second schedule:
y = 2x + 1
The schedules break even means:
x + 4 = 2x + 1
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click here to see the equation solved for x
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x = 3 week
After 3 weeks (on the forth week) the two schedules break even.
The number of miles ran on the forth week is:
y = 3 + 4
y = 7 mi