warmup (11/8)

Front

What is the formula for calculating distance when speed and time are known?

Back

Distance = Speed × Time

Front

If a vehicle travels 3 miles in 14 minutes, how do you calculate its speed in miles per hour?

Back

Speed = Distance / Time. Convert time to hours: 14 minutes = 14/60 hours. Speed = 3 miles / (14/60) hours = 12.86 miles per hour.

Front

How do you convert minutes to hours when calculating speed?

Back

Divide the number of minutes by 60.

Front

What is the relationship between distance, speed, and time?

Back

Distance is directly proportional to speed and time. If speed or time increases, distance increases.

Front

How can you set up a proportion to solve for unknown distance based on known rates?

Back

Set up the proportion as (Distance1 / Time1) = (Distance2 / Time2) and solve for the unknown.

Front

What is the average speed if a bike travels 100 miles in 5 hours?

Back

Average Speed = Total Distance / Total Time = 100 miles / 5 hours = 20 miles per hour.

Front

How do you find the total distance traveled if you know the speed and time?

Back

Multiply the speed by the time: Distance = Speed × Time.

Front

If Uriel caught 14 fish in 75 minutes, how do you find the rate of fish caught per minute?

Back

Rate = Total Fish / Total Time = 14 fish / 75 minutes = 0.1867 fish per minute.

Front

How do you calculate the number of fish Uriel can catch in 200 minutes based on his rate?

Back

Multiply the rate by the new time: Number of fish = Rate × Time = 0.1867 fish/minute × 200 minutes = 37.34 fish.

Front

What is the formula to calculate how far Randy can bike in 45 minutes if he bikes 4.25 miles in 25 minutes?

Back

First find the rate: Rate = 4.25 miles / 25 minutes. Then use the rate to find distance for 45 minutes: Distance = Rate × 45 minutes.