Suppose that every day from Monday through Friday, you keep the following routine:
You walk directly to school in the moming. On this walk,
you take 1500 steps.
You play at recess.
You play a sport.
You walk directly home from school.
You think you take about as many steps at recess as you
do playing your sport
Your
FitBit says that you have taken a total of 38.000 steps
during the week.
How many steps do you take every day at recess?

You take around 4,500 steps a day

Step-by-step explanation:

the system of inequalities is

step-by-step explanation:

step 1

find the equation of the dashed line

we have the points

(0,0) and (3,1)

the line passes through the origin, so, is a direct variation

find the slope

the equation of the dashed line is

the solution of the inequality a s the shaded area above the dashed line

therefore

the equation of the inequality a is

step 2

find the equation of the solid line

we have the points

(4,0) and (0,4)

find the slope

the equation of the solid line is

the solution of the inequality b s the shaded area below the solid line

therefore

the equation of the inequality b is

step 3

the system of inequalities is

step-by-step explanation: s