Final answer:
Becky's rate of speed is found by using the formula rate = distance / time, which calculates to 12 mph, giving us the equation R = 12 mph.
Step-by-step explanation:
To write an equation that represents Becky's rate of speed we must use the formula rate = distance / time. According to the question, Becky rides her bike 3 miles every 15 minutes. To find Becky's rate of speed in miles per hour (mph), we first convert 15 minutes to hours, which is 0.25 hours (15 minutes/60 minutes per hour). Then, we use the formula:
- Rate = Distance / Time
- Rate = 3 miles / 0.25 hours
- Rate = 12 mph
Therefore, Becky's rate of speed is 12 mph. The equation representing Becky's rate of speed is:
R = 12 mph
where R represents the rate of speed.