Michael Biking Questions (pp. 1 of 2)

Michael Biking Questions (pp. 1 of 2) KEY
8th Grade
Mathematics
Unit: 04 Lesson: 01
Michael rides his bike at a constant rate for 2 hours and travels 10 miles.
0 miles
1 mile
5 miles
10 miles
Distance
Time
0.2 hour 1 hour
0 hours
2 hours
Answer the questions below. Label all the numbers. Justify your response.
1. In Michael Biking, what are the two quantities being compared?
Distance in miles and time in hours
2. How far can Michael ride in one hour? Two hours? Four hours?
Half of 2 hours is 1 hour: half of 10 miles is 5 miles
The diagram shows 2 hours aligns with 10 miles
Two times 2 hours is 4 hours: 2 times 10 miles is 20 miles
3. How long will it take Michael to ride 15 miles? 25 miles?
1
1
1 of ten miles is 15 miles: 1 of 2 hours is 3 hours
2 2
1
2 2
of ten miles is 25 miles:
1
2 2
of 2 hours is 5 hours
4. What are the two rates to represent the diagram?
10 miles 2 hours
and
2 hours 10 miles
5. What are the two unit rates?
1
1
10 miles 2 5 miles 2 hours 10 0.2 hour
= and =
2 hours 1 1 hour 10 miles 1
1 mile
2 10
6. Where are the two unit rates located on the diagram?
Refer to diagram above.
7. How long will it take Michael to ride 3.5 miles? 7.5 miles?
0.2 hours 3.5 0.7 hour 0.2 hours 7.5 1.5 hours
=
and =
1 mile 3.5 3.5 miles 1 mile 7.5 7.5 miles
8. How long it will take Michael to ride 12 miles (providing his speed is constant)?
0.2 hour per mile x 12 miles = 2.4 hours
9. How far Michael can ride in 6 hours (providing his speed is constant)?
5 miles per hour x 6 hours = 30 miles
©2010, TESCCC 08/01/10