In a certain state the maximum speed permitted on freeways is 75 mi/h and the minimum speed is 50 mi/h. the fine for violating these limits is $25 for every mile per hour above the maximum speed or below the minimum speed. express the amount of the fine f as a function of the driving speed x.

The amount of fine F as a function of the driving speed x would be

Step-by-step explanation:

Since we have given that

Maximum speed = 75 mi/hr

Minimum speed = 50 mi/hr

Fine for every mile per hour above the maximum speed or below the minimum speed = $25

So, Amount of fine for below the minimum speed would be

Amount of fine for above the maximum speed would be

There will be no fine in between the following range:

Hence, the amount of fine F as a function of the driving speed x would be

an

y = 6x -3y -12

y +3y +12 = 6x

=> . x = { 2y / 3 +2 } this is equation of line in terms of x

=> . if line meets the x-axis the co-ordinates of meeting point would be ( x , 0 )

=> . x = 2 ( 0 ) / 3 + 2

=> . x = 2

so, the point is ( 2 , 0 )