Answer:
The ratio of useful energy output to useful energy input is 0.75, which can also be expressed as 3:4 or 75%.
Step-by-step explanation:
To determine the ratio of useful energy output to useful energy input, we need to calculate both the useful energy output and the useful energy input, and then find their ratio.
Useful Energy Input:
The useful energy input is the amount of energy the cyclist obtained from their food intake. Since the cyclist had 2400 calories from food intake, the useful energy input is 2400 calories.
Useful Energy Output:
The cyclist lost 25% of their energy during the race. To calculate the useful energy output, we need to find 75% of the initial energy intake (since 100% - 25% = 75%).
75% of 2400 calories = 0.75 * 2400 = 1800 calories.
Now, we have the useful energy input as 2400 calories and the useful energy output as 1800 calories.
Calculate the Ratio:
The ratio of useful energy output to useful energy input can be calculated as:
Ratio = Useful Energy Output / Useful Energy Input
Ratio = 1800 calories / 2400 calories
Ratio = 0.75
So, the ratio of useful energy output to useful energy input is 0.75, which can also be expressed as 3:4 or 75%. This means that 75% of the energy obtained from food intake was used as useful energy output during the race.