Related Rates Quiz

Match the name of the derivative rule to its definition.

• Quotient Rule

• Product Rule

• Sum and Difference Rule

• Chain Rule

• Power Rule

To solve a related rates problem, we must use a known ​ (a)   , to solve for an unknown quantity.

• rate of change
• constant value
• static measurement
• fixed quantity

Classify each unit of measurement as a "simple unit," or a "rate of change."

Groups:

(a) Simple Unit

,

(b) Rate of Change

Tags

CCSS.HSG.GMD.A.1

Tags

CCSS.HSA.SSE.A.1

A spherical snowball is rolled in fresh snow, causing it to grow so that its radius increases at a rate of 2 in/sec. How fast is the volume of the snowball increasing when the radius is 2 in?

Tags

CCSS.HSG.GMD.A.3

Water leaking onto a floor forms a circular pool. The radius of the pool increases at a rate of 3 cm/min. How fast is the area of the pool increasing when the radius is 12 cm?

Tags

CCSS.HSA.SSE.A.1

CCSS.HSG.GMD.A.1

Rachel is standing atop a 13 ft ladder. The ladder is leaning against a vertical wall. The ladder starts sliding away from the wall at a rate of 3 ft/sec. How fast is the ladder sliding down the wall when the tip of the ladder is 5 ft high?

• 3 ft/sec

• 7.2 ft/sec

• -12 ft/sec

• -7.2 ft/sec

Tags

CCSS.HSA.CED.A.2

CCSS.HSG.SRT.C.8

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