Which of the following pairs of variables have a deterministic relationship
Hours spent outside and amount of sunburn.
Speed driven and distanced covered in an hour
Number of cakes eaten, and weight gained.
Hours spent working out and maximum weight lifted.
The correct answer and explanation is:
The correct answer is: Speed driven and distance covered in an hour.
Explanation:
A deterministic relationship exists when the value of one variable completely determines the value of another variable. In this case, the speed at which you drive and the distance covered in an hour are directly related in a deterministic way. If you know the speed at which you are driving, you can calculate the exact distance covered in one hour by using the formula: Distance=Speed×Time\text{Distance} = \text{Speed} \times \text{Time}
Since time is constant (one hour), the distance covered is directly proportional to the speed. If the speed is 60 kilometers per hour, for example, the distance covered in one hour will always be 60 kilometers. This relationship is deterministic because there is no variability once the speed is known.
Now, let’s break down why the other pairs of variables are not deterministic:
- Hours spent outside and amount of sunburn: This is not deterministic because the amount of sunburn a person gets depends on factors like skin type, sunscreen usage, and other environmental conditions, not just the number of hours spent outside.
- Number of cakes eaten and weight gained: This relationship is probabilistic, not deterministic, because weight gain is influenced by various factors such as metabolism, physical activity, and overall diet, not just the number of cakes consumed. Eating cakes alone does not guarantee weight gain, as other variables come into play.
- Hours spent working out and maximum weight lifted: While there is a general correlation between the two, this relationship is not strictly deterministic. Other factors, such as genetics, diet, rest, and workout intensity, play significant roles in determining the maximum weight lifted. Therefore, the number of hours spent working out does not solely determine the weight a person can lift.
In summary, the only truly deterministic relationship in the provided options is between speed and distance.