The Lopez family left Dallas and went to Houston. Then they went from Houston to Austin. Then they took the shortest route back to Dallas. How far did they travel in all? Tell how you found the answer.

im on this too

I would assume they drove a car.

If so, then Dallas to Houston: 239.3 miles.

Then, Houston to Austin: 165.3 miles

Shortest route back to Texas: 913.5.

I used g o o g l e m a p s to find my answer.

Now add the numbers up:

239.3+165.3+913.5= 1318.1

They traveled 1318.1 miles in all.

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