Matt took a train traveling at an average speed of 80 mph from Boston, MA to Washington, D. C. The trip took 6 hours. On his way back to Boston, Matt decides to take an express train that travels at an average speed of 100 mph. How long will the trip home take?

The trip will take 4.8 hours

Step-by-step explanation:

Firstly, we need to calculate the distance from Boston to Washington

Mathematically:

Distance = speed * time

Distance = 80 mph * 6 hours = 480 miles

Now we want to calculate the time it will take a train that travels at a speed of 100 mph

Mathematically;

time = distance/speed

time = 480/100 = 4.8 hours

answer:

given the linear inequality :

add 2y to both sides we get;

simplify:

add 12 to both sides of an equation;

simplify:

divide both sides by 2 we get;

or

the related equation for the inequality equation [1] is;

y-intercepts defined as the graph crosses the y-axis.

substitute x =0 in [2] to solve for y;

y = 6

x-intercepts defined as the graph crosses the x-axis.

substitute value y = 0 to solve for x;

subtract 6 from both sides we get

multiply both sides by 2 we get;

or

x = -12

now, plot these point (0, 6) and (-12, 0) on graph as shown below and shade the graph below the solid line.