Answer :
To determine whether the statement "the chances of death doubles for every 10 mph over 50 mph a vehicle travels" is true, let's break the assertion down and understand its implications through a logical process.
1. Initial Speed Consideration: The speed threshold given is 50 mph.
2. Doubling Effect: For every increase of 10 mph over this speed, the chances of death are said to double.
Let's consider different speed points to see how the chances of death change according to the statement:
- At 50 mph: This is our reference point. Let’s assume the chance of death to be a baseline value, say 1 unit.
- At 60 mph: This is 10 mph over 50 mph. According to the statement, the chances of death doubles. Therefore, the chance of death here would be 2 units.
- At 70 mph: This is 20 mph over 50 mph. So, we double the previous chance of death again. The chance of death would then be 4 units.
- At 80 mph: This is 30 mph over 50 mph. Doubling the previous chances again makes the chance of death 8 units.
This pattern of exponential growth in the chances of death with each increment of 10 mph over 50 mph supports the statement.
Given the understanding and logical breakdown of the problem statement without performing any actual calculations here, it can be concluded that:
The statement "the chances of death doubles for every 10 mph over 50 mph a vehicle travels" is true.
1. Initial Speed Consideration: The speed threshold given is 50 mph.
2. Doubling Effect: For every increase of 10 mph over this speed, the chances of death are said to double.
Let's consider different speed points to see how the chances of death change according to the statement:
- At 50 mph: This is our reference point. Let’s assume the chance of death to be a baseline value, say 1 unit.
- At 60 mph: This is 10 mph over 50 mph. According to the statement, the chances of death doubles. Therefore, the chance of death here would be 2 units.
- At 70 mph: This is 20 mph over 50 mph. So, we double the previous chance of death again. The chance of death would then be 4 units.
- At 80 mph: This is 30 mph over 50 mph. Doubling the previous chances again makes the chance of death 8 units.
This pattern of exponential growth in the chances of death with each increment of 10 mph over 50 mph supports the statement.
Given the understanding and logical breakdown of the problem statement without performing any actual calculations here, it can be concluded that:
The statement "the chances of death doubles for every 10 mph over 50 mph a vehicle travels" is true.