Question

PLEASE HELP!!
You are traveling on I-40 in Tennessee and you are stopped by a state trooper for speeding. In Tennessee, the cost of your ticket is determined by the city and/or county in which the ticket is issued. The city council of the city in which you were stopped used the formula c=1.50s-17.5 where c is the cost of the ticket and s is the speed you were traveling. Show how you used the formula c=1.50s-17.5 to solve both problems.

1) Use the formula c=1.50s-17.5 to determine the cost of your ticket if you were traveling at 75mph.
• The ticket for traveling 75 mph would cost
$ ______ ??

2) Use the formula c=1.50s-17.5 to determine how fast you were traveling if the ticket cost $105.50.

• If the ticket cost $105.50 you were traveling at a speed of _____ mph ??

Answer 1

Answer:

1.  1.50(75) - 17.5

112.5-17.5 = $95

2. $105.50 = 1.50s - 17.5        

     +17.5                 +17.5

   $123.00  =  1.50s

   $123/1.50 1.50/1.50

     s = 82/ speed = 82 mph