## Algebra and Trigonometry

Mathematics

## Quiz 3 :

Functions and Graphs

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Q12 Q12 Q12

The owner of an ice cream franchise must pay the parent company $1,100 per month plus 5% of the monthly revenue R. Operating cost of the franchise includes a fixed cost of $2,500 per month for items such as utilities and labor. The cost of ice cream and supplies is 50% of the revenue. Determine the monthly revenue needed to break even.

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Q20 Q20 Q20

A cable television firm presently serves 5,900 households and charges $22 per month. A marketing survey indicates that each decrease of $1 in the monthly charge will result in 590 new customers. Let R(x) denote the total monthly revenue when the monthly charge is x dollars. Find the value of x that results in maximum monthly revenue.

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Q24 Q24 Q24

A 100-foot-long cable of diameter 2 inches is submerged in seawater. Because of corrosion, the surface area of the cable decreases at the rate of 900in

^{ 2 }per year. Express the diameter d of the cable as a function of time t (in years). (Disregard corrosion at the ends of the cable.)Free

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Q37 Q37 Q37

The owner of an ice cream franchise must pay the parent company $1,200 per month plus 7% of the monthly revenue R. Operating cost of the franchise includes a fixed cost of $2,300 per month for items such as utilities and labor. The cost of ice cream and supplies is 53% of the revenue. Determine the monthly revenue needed to break even.

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Q45 Q45 Q45

A cable television firm presently serves 6,600 households and charges $20 per month. A marketing survey indicates that each decrease of $1 in the monthly charge will result in 660 new customers. Let R(x) denote the total monthly revenue when the monthly charge is x dollars. Find the value of x that results in maximum monthly revenue.

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Q49 Q49 Q49

A 100-foot-long cable of diameter 2 inches is submerged in seawater. Because of corrosion, the surface area of the cable decreases at the rate of 1,000in

^{ 2 }per year. Express the diameter d of the cable as a function of time t (in years). (Disregard corrosion at the ends of the cable.)Free

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Q62 Q62 Q62

The owner of an ice cream franchise must pay the parent company $1,100 per month plus 3% of the monthly revenue R. Operating cost of the franchise includes a fixed cost of $2,500 per month for items such as utilities and labor. The cost of ice cream and supplies is 52% of the revenue. Determine the monthly revenue needed to break even.

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Q70 Q70 Q70

A cable television firm presently serves 4,600 households and charges $16 per month. A marketing survey indicates that each decrease of $1 in the monthly charge will result in 460 new customers. Let R(x) denote the total monthly revenue when the monthly charge is x dollars. Find the value of x that results in maximum monthly revenue.

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Q74 Q74 Q74

A 100-foot-long cable of diameter 2 inches is submerged in seawater. Because of corrosion, the surface area of the cable decreases at the rate of 500in

^{ 2 }per year. Express the diameter d of the cable as a function of time t (in years). (Disregard corrosion at the ends of the cable.)Free

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Q82 Q82 Q82

In exercise physiology, aerobic power P is defined in terms of maximum oxygen intake. For altitudes up to 1,760 meters, aerobic power is optimal-that is, 100%. Beyond 1,760 meters, P decreases linearly from the maximum of 100% to a value near 40% at 4,960 meters. Estimate aerobic power at the altitude of 2,400 meters.

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Q106 Q106 Q106

In exercise physiology, aerobic power P is defined in terms of maximum oxygen intake. For altitudes up to 1,720 meters, aerobic power is optimal-that is, 100%. Beyond 1,720 meters, P decreases linearly from the maximum of 100% to a value near 40% at 4,920 meters. Estimate aerobic power at the altitude of 2,400 meters.

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Q130 Q130 Q130

In exercise physiology, aerobic power P is defined in terms of maximum oxygen intake. For altitudes up to 1,800 meters, aerobic power is optimal-that is, 100%. Beyond 1,800 meters, P decreases linearly from the maximum of 100% to a value near 40% at 5,000 meters. Estimate aerobic power at the altitude of 2,400 meters.

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