The lawful speeds S on an interstate highway satisfy StartAbsoluteValue Upper S minus 55.5 EndAbsoluteValue less than or equals 20.5
.
Find the maximum and minimum speed limits by solving the absolute value equation StartAbsoluteValue Upper S minus 55.5 EndAbsoluteValue equals 20.5
.
Question content area bottom
Part 1
The minimum speed limit is 35
mi/hr.
Part 2
The maximum speed limit is enter your response here
mi/hr.
To find the maximum and minimum speed limits, we can solve the absolute value equation:
|S - 55.5| = 20.5
To solve for S, we will consider the two cases:
Case 1: S - 55.5 = 20.5
Adding 55.5 to both sides, we have:
S = 76
Case 2: -(S - 55.5) = 20.5
Expanding the equation, we have:
-S + 55.5 = 20.5
Subtracting 55.5 from both sides and multiplying by -1, we get:
S = 35
Therefore, the maximum speed limit is 76 mph and the minimum speed limit is 35 mph.