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Michael Biking Questions (pp. 1 of 2)

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<strong>Michael</strong> <strong>Biking</strong> <strong>Questions</strong> (<strong>pp</strong>. 2 <strong>of</strong> 2) KEY<br />

8th Grade<br />

Mathematics<br />

Unit: 04 Lesson: 01<br />

10. If <strong>Michael</strong> rides his bike 3.5 miles, how many yards did he ride his bike?<br />

1,760 yards<br />

Unit rate:<br />

1 mile<br />

Proportion:<br />

1,760 yards<br />

=<br />

? yards 1,760 yards 3.5 ? yards<br />

; = ; ? = 6,160 yards<br />

1 mile 3.5 miles 1 mile 3.5 3.5 miles<br />

Equation: y = 1,760x, where y represents the number <strong>of</strong> yards and x represents the number <strong>of</strong><br />

miles; y = 1,760(3.5); y = 6,160 yards<br />

11. If <strong>Michael</strong> rides his bike 8.25 miles, how many yards did he ride his bike?<br />

1,760 yards<br />

Unit rate:<br />

1 mile<br />

Proportion:<br />

1,760 yards<br />

=<br />

? yards 1,760 yards 8.25 ? yards<br />

; =<br />

; ? = 14,520 yards<br />

1 mile 8.25 miles 1 mile 8.25 8.25 miles<br />

Equation: y = 1,760x, where y represents the number <strong>of</strong> yards and x represents the number <strong>of</strong><br />

miles; y = 1,760(8.25); y = 14,250 yards<br />

<strong>Michael</strong> wants to convert the miles he rides his bike to kilometers. He knows there are<br />

a<strong>pp</strong>roximately 1.61 kilometers in 1 mile.<br />

12. If <strong>Michael</strong> rides his bike 5 miles, a<strong>pp</strong>roximately how many kilometers did he ride his bike?<br />

1.61 kilometers<br />

Unit rate:<br />

1 mile<br />

Proportion:<br />

1.61 kilometers<br />

=<br />

? kilometers ;<br />

1 mile 5 miles<br />

1.61 kilometers 5 ? kilometers<br />

=<br />

; ? = 8.05 km<br />

1 mile 5 5 miles<br />

Equation: y = 1.61 x, where y represents the number <strong>of</strong> kilometers and x represents the<br />

number <strong>of</strong> miles; y = 1.61(5); y = 8.05 km<br />

13. If <strong>Michael</strong> rides his bike 8 miles, a<strong>pp</strong>roximately how many meters did he ride his bike?<br />

1.61 kilometers<br />

Unit Rate:<br />

1 mile<br />

Proportion:<br />

1.61 kilometers<br />

=<br />

? kilometers ;<br />

1 mile 8 miles<br />

1.61 kilometers 8 ? kilometers<br />

=<br />

; ?=12.88 km<br />

1 mile 8 5 miles<br />

Unit rate:<br />

1,000 meters<br />

1 kilometer<br />

;<br />

1,000 meters 12.88 12,880 meters<br />

=<br />

; 12,880 meters 8 miles<br />

1 kilometer 12.88 12.88 kilometers<br />

©2010, TESCCC 08/01/10

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