Jeremy rides his bike at a rate of 15 miles per hour. Below is a table that represents the number of hours and miles Kevin rides. Assume both bikers ride at a constant rate. Which biker rides at a greater speed? Include all of your calculations in your final answer.
Time in hours (x) Distance in miles (y)
1.5
2
3.5
4
To find the speed (in miles per hour) for each biker, we need to divide the distance by the time.
For Jeremy:
- 1.5 hours: Speed = Distance/Time = 15/1.5 = 10 miles per hour
- 2 hours: Speed = Distance/Time = 15/2 = 7.5 miles per hour
- 3.5 hours: Speed = Distance/Time = 15/3.5 = 4.29 miles per hour
- 4 hours: Speed = Distance/Time = 15/4 = 3.75 miles per hour
For Kevin, we don't have any information to fill in the table, so we can't calculate his speed.
Therefore, based on the given information, Jeremy rides at a greater speed than Kevin.
To determine which biker rides at a greater speed, we need to calculate the speed (in miles per hour) for each biker.
For Jeremy:
Speed = Distance / Time
Speed = 15 miles / 1 hour
Speed = 15 miles per hour
For Kevin:
To calculate Kevin's speed, we need to know the distance he traveled for each corresponding time.
For 1.5 hours:
Speed = Distance / Time
We don't have the distance information for 1.5 hours, so we can't calculate Kevin's speed.
For 2 hours:
Speed = Distance / Time
We also don't have the distance information for 2 hours, so we can't calculate Kevin's speed.
For 3.5 hours:
Speed = Distance / Time
We still don't have the distance information for 3.5 hours, so we can't calculate Kevin's speed.
For 4 hours:
Speed = Distance / Time
We don't have the distance information for 4 hours either, so we can't calculate Kevin's speed.
Since we can only calculate Jeremy's speed (15 miles per hour), we cannot determine which biker rides at a greater speed based on the given table.
To find out which biker rides at a greater speed, we need to compare their rates.
The rate at which Jeremy rides his bike is given as 15 miles per hour.
To find the rate at which Kevin rides his bike, we need to calculate the rate by dividing the distance by the time.
Let's calculate the distances for Kevin:
For Kevin, the distance is given in the table.
For 1.5 hours, the distance covered by Kevin would be y = 1.5 miles.
For 2 hours, the distance covered by Kevin would be y = 2 miles.
For 3.5 hours, the distance covered by Kevin would be y = 3.5 miles.
For 4 hours, the distance covered by Kevin would be y = 4 miles.
Now, let's calculate the rates at which Kevin rides his bike:
For 1.5 hours, the rate at which Kevin rides his bike is calculated by dividing the distance (1.5 miles) by the time (1.5 hours): Rate = 1.5 miles / 1.5 hours = 1 mile per hour.
For 2 hours, the rate at which Kevin rides his bike is calculated by dividing the distance (2 miles) by the time (2 hours): Rate = 2 miles / 2 hours = 1 mile per hour.
For 3.5 hours, the rate at which Kevin rides his bike is calculated by dividing the distance (3.5 miles) by the time (3.5 hours): Rate = 3.5 miles / 3.5 hours = 1 mile per hour.
For 4 hours, the rate at which Kevin rides his bike is calculated by dividing the distance (4 miles) by the time (4 hours): Rate = 4 miles / 4 hours = 1 mile per hour.
Comparing the rates, we see that Kevin rides at a rate of 1 mile per hour, while Jeremy rides at a rate of 15 miles per hour.
Since 15 miles per hour is greater than 1 mile per hour, Jeremy rides at a greater speed than Kevin.