Keitaro walks at a pace of 3 miles per hour and runs at a pace of 6 miles per hour. each month, he wants to complete at least 36 miles but not more than 90 miles. the system of inequalities represents the number of hours he can walk, w, and the number of hours he can run, r, to reach his goal

w+2r>12

w+2r<20

Step-by-step explanation:

Walking :

Speed = 3 mph

Time of walking = w hrs (given)

Total distance covered = Speed x time

D1=3w

Running

Speed=6 mph

Time of running = r hrs ( Given)

Total distance covered = Speed x time

D2 = 6r

The condition says that

Total distance > 36 miles

That is

D1+D2>36

3w+6r>36

Dividing both sides by 3 we get

w+2r>12

Also

D1+D2<60

3w+6r<60

w+2r<20

Hence the system of inequations representing the above condition are

w+2r>12

w+2r<20

f(x) is the value of the function. b is the value of the function when x equals zero or the y-coordinate of the point where the line crosses the y-axis in the coordinate plane.

step-by-step explanation:

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