A train is traveling at a constant speed and has traveled 67.5 miles in the last 11 hours. Which equation shows the proportional relationship between the distance, d, and the time, t,

that the train has traveled?

A. d=45t

B. d=50t

C. d = 690

D. d=67.5t

A. d= 45t

Step-by-step explanation:

(assuming that you meant 67.5 in the last 1.5 hours)

67.5 miles = distance

1.5 hours = time

therefore:

= 67.5/1.5

making your answer 45

leaving a as your correct

d= 45t

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