If juan drives 50 mph for 1.5 hours and then 70 mph for 0.5 hours, then how far did he drive?

The total distance that he drive is:

                     110 miles.

We know that the distance is defined as the product of speed and time.

i.e.

It is given that:

Juan drives 50 mph for 1.5 hours.

This means that at this rate the distance traveled by him is:

and he travels at the rate of 70 mph for 0.5 hours.

This means that the distance traveled by him at this rate is:

Hence, the total distance that he drive is:

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

21

jk it's 20

step-by-step explanation: