A car is driving down a road at a normal speed of 50 mph. It enters a hilly area of gradual incline and decline, where it must drive 50 miles uphill and then 50 miles downhill. If this 100-mile section of road takes 2.6 hours to
traverse instead of the expected 2 hours (the time it would take if the road was completely flat), determine the
speed that the hills add or subtract when going over.
A. 24 mph
B. 32 mph
C. 37 mph
D. 12.5 mph

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

more i think

hope this !