The organizers of a town's bike race were expecting 5,000 bikers to participate. The race was advertised as the "7,000,000 calorie competition" because 7,000,000 calories would be burned during the race if all 5,000 bikers participated. The advertisement assumed each biker would burn the same number of calories. The number of bikers who participated in the race was lower than expected.Question How many of the 5,000 bikers did ,begin emphasis,NOT,end emphasis, participate in the race if the race was really a 4.2 times 10 Superscript 6 Baseline calorie competition? Enter the answer in the box.

Answer 1

To determine how many bikers did not participate, we first need to know how many calories were supposed to be burned if all 5,000 bikers participated.

The advertisement assumed that a total of 7,000,000 calories would be burned if 5,000 bikers participated.

Now, since the actual calorie goal was 4.2 million calories, we can set up the following proportion to find out how many bikers actually participated.

1. The calories burned per biker, based on the advertisement, would be: \[ \text{Calories per biker} = \frac{7,000,000 \text{ calories}}{5,000 \text{ bikers}} = 1,400 \text{ calories per biker} \]

2. To find out how many bikers would be needed to burn 4.2 million calories, we can divide the total calories burned (4,200,000 calories) by the number of calories burned per biker (1,400 calories per biker): \[ \text{Number of bikers who participated} = \frac{4,200,000 \text{ calories}}{1,400 \text{ calories per biker}} = 3,000 \text{ bikers} \]

3. Finally, to find the number of bikers who did not participate, we subtract the number of bikers who participated from the expected number of bikers: \[ \text{Number of bikers who did not participate} = 5,000 \text{ bikers} - 3,000 \text{ bikers} = 2,000 \text{ bikers} \]

Thus, the number of bikers who did not participate in the race is 2,000.