SOLUTION: for your exercise program you either walk 5 miles a day or ride your bike for 10 miles a day. how many days will it take you to cover a distance of at least 150 miles but no more t

Algebra ->  Coordinate Systems and Linear Equations  -> Linear Equations and Systems Word Problems -> SOLUTION: for your exercise program you either walk 5 miles a day or ride your bike for 10 miles a day. how many days will it take you to cover a distance of at least 150 miles but no more t      Log On


   

Question 1108116: for your exercise program you either walk 5 miles a day or ride your bike for 10 miles a day. how many days will it take you to cover a distance of at least 150 miles but no more than 200 miles?
Answer by josgarithmetic(39631) About Me  (Show Source):
You can put this solution on YOUR website!
x, days walk
y, day bike
d, total distance for x+y days
5x%2B10y=d

BETWEEN 150 AND 200 MILES
150%3C=5x%2B10y and 5x%2B10y%3C=200
system%2830%3C=x%2B2y%2Cx%2B2y%3C=40%29

system%2815%3C=x%2F2%2By%2Cx%2F2%2By%3C=20%29

Just the reference lines:
graph%28300%2C300%2C-2%2C22%2C-2%2C22%2C-x%2F2%2B15%2C-x%2F2%2B20%29
Test any whole number value for x BETWEEN the lines, possibly including a line and see if it works for BOTH inequalities. Possibly more than one solution possible. You will want to test x values which are divisible by 2 leaving no remainder.