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A certain municipality recently changed the fines levied for being caught exceeding the posted speed limit. The fine is €10 (euros) for every 1 kilometer per hour (kph) over the speed limit.
Select for Speed in kph and for Total fine in euros numbers that could be the speed of an automobile caught exceeding the speed limit of \(130\) kph and the total fine that would be levied, under the new fines, such that both numbers are jointly compatible with the information provided. Make only two selections, one in each column.
5
50
100
130
140
150
Let's create a number line to visualize the speed limit and fines:
Speed (kph): 0 -------- 130 ---|--- 140 --- 150 --->
Speed Limit | +10 +20
|
Fine (Euro): Euro0 Euro0 Euro100 Euro200
We need to select TWO values that work together:
For any speed exceeding 130 kph:
Total Fine = \(\mathrm{Euro10 \times (Speed - 130)}\)
5, 50, 100, 130, 140, 150
From our choices, which speeds exceed 130 kph?
For 140 kph:
Stop here - we found our answer.
(For completeness: 150 kph would result in Euro200, which isn't available)
The automobile was traveling at 140 kph (10 kph over the limit), resulting in a fine of Euro100.