You often go to school by bus. You have two payment options. Option A is to buy a monthly pass and pay $1 per ride and a monthly pass costs $15. Option B is to pay $2.50 per ride. After how many rides will the total costs of the two options be the same? Write a system of equations in order to solve this problem.

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

answer: y=0 if that is what u r looking for