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Core Connections Integrated II, 2015

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Core Connections Integrated II, 2015 View details

3. Section 9.3

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Exercise 123 Page 527

Calculate the product of the tire's circumference, the revolutions per minute, and number of minutes.

D

Practice makes perfect

To find how far she travels in 5 minutes we need the circumference of the tire. To find this we have to multiply its diameter — which is twice the radius — by π.

C=2π r

r= 14

C=2π( 14)

Multiply

C=28π

The circumference is 28π. If the tires are spinning at 120 revolutions per minute, the number of inches traveled after 5 minutes must be the product of the 28π, 120, and 5. 28π(120)(5)=16 800π in. This matches option D.

Subchapter links

9.3.1 Average Rate of Change and Projectile Motion p.511-514

9.3.2 Comparing the Growth of Functions p.518-519

9.3.3 Piecewise-Defined Functions p.522-523

9.3.4 Combining Functions p.526-527