Hurry the johnson family is taking a car trip. they are driving at an average speed of 60 miles per hour. the graph shows their distance traveled over time. what does the point (5, 300) represent in this situation? a) the johnson family will travel 300 miles in 5 hours. b) the johnson family will finish their trip in 5 hours. c) the johnson family drives 5 miles per hour for 300 miles. d) the johnson family vacation destination is 300 miles away.

A) the Johnson family will travel 300 miles in 5 hours

Assuming 5, represents the amount of hours & 300 representing miles

step-by-step explanation:

the system of inequity is

step-by-step explanation:

from the given graph it is noticed that we have two related lines. one is solid and another is dashed.

if a line passing through two points, then the equation of line is

the solid line passing through the points (0,4) and (4,0).

the related equation of solid line is .

similarly, find the related equation of dashed line. the dashed liune passing through the points (0,0) and (3,1).

the related equation of dashed line is

from the given graph it is noticed that the point (0,1) lies on the shaded region, therefore the point (0,1) must be satisfied by the related equations.

check the related equations by the point (0,1).

this statement is true if the sign of inequality is < instead of equality. since it is an solid line therefore the sign of inequality will be . the required inequality is

similarly, check the second related equation.

it is a dashed line, so this statement is true if the sign of inequality is > . the required inequality is