Use the four-step procedure for solving variation problems to solve : The distance that a spring will stretch varies directly as the force applied to the spring. A force of 12 pounds is needed to stretch a spring 9 inches. What force is required to stretch the spring 15 inches?

Q: 1. The distance that a body falls in t seconds varies directlyas the square of t. If a body falls 16…

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Q: Use the four-step procedure for solving variation problem to solve: y varies directly as x and…

A: Given that, y varies directly as x and inversely as the square of z so, Where k=constant

Q: The number of gallons of water, W, used when taking a shower varies directly as the time, t, in…

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Q: It costs a family $324.00 to buy a 10-ft-by-12-ft rug. If the cost is proportional to the area, what…

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Q: A boat can travel 26 mph in still water. If the boat can travel 100 miles with the current in the…

A: Consider the speed of boat is v=26 mph. The distance that the boat can travel with the current is…

Q: Use the four-step procedure for solving variation problem to solve: a varies directly as b and…

A: Given that: a varies directly as b and inversely as the square of c. So,  Where k is a constant.…

Q: The electrical resistanceof a wire varies directly with the length of the wire andinversely with the…

A: Given that a resistance of a wire is directly proportional to the length of the wire and inversely…

Q: The number of gallons of water, W, used when taking a shower varies directly as the time, t, in…

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Q: Suppose that the amount of time it takes to bulld a highway varies directly with the length of the…

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Q: The drag force on a boat varies jointly as the wetted surface area and the square of the velocity of…

A: Consider the provided statement. The drag force F on a  boat varies jointly as the wetted surface…

Q: What is the overall gear ratio when the transmission is in first gear which has a ratio of 2.5:1 and…

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Q: Two passengers leave the airport at Kansas City, Missouri. One flies to Los Angeles, California, in…

A: Let speed of the plane to Los Angeles= x mphSo,  speed of the plane to New York City= (x+22) mph

Q: The force exerted by the wind on a plane surface varies jointly with the square of the velocity of…

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Q: Use the four-step procedure for solving variation problems to solve: Kinetic energy varies jointly…

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Q: airport

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Q: The distance, s, that a body falls from rest varies directly as the square of the time, t, of the…

A: Given: (k is a constant used to remove the proportionality sign) When s=64 feet and t= 2s value of…

Q: A plane travels for 3 hours at 300 Km/hr in the direction of S42∘W. How far west and how far south…

A: Speed of the plane, v = 300 km/hr.The distance covered by the plane in 3 hours, D = vt = 300 x 3 =…

Q: Use the four-step procedure for solving variation problems to solve : The height that a ball bounces…

A: Let b and h be the bounce and height of the ball. Step 1: Writing the equation of the given…

Q: What is direct variation? And how to I solve it?

A: Direct variation describes a simple relationship between two variables . We say y varies directly…

Q: The distance s that an object falls varies directly with the square of the time, t, of the fall. If…

A: solve the following

Q: 1 a. Caleb rides his bike with a constant speed of 8 miles per hour, How long will he take to travel…

A: Given that Caleb rides bike with a constant speed of 8 miles per hour. Distance travelled is 20…

Q: The distance ss that an object falls varies directly with the square of the time t. If an object…

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Q: A force, f, varies inversely with the square of the distance, d, from an object.

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Q: The force needed to keep a car from skidding on a curve varies inversely as the radius of the curve…

A: Given:A force of 200 pound keeps a car of weigth 3200 pound from skidding on curve of radius400ft at…

Q: on a given planet , the weight of an object varies directly with the mass of the object. suppose…

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Q: The braking distance of a car varies directly as the square of the speed of that car. Assume that a…

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Q: Use the four-step procedure for solving variation problem to solve: y varies jointly as x and z. y =…

A: y varies jointly as x and z. y=kxzk is the constant of proportionality

Q: The intensity of a light from a light bulb varies inversely as the square of the distance from the…

A: According to the question given that the intensity I of a light bulb varies inversely as the square…

Q: Use the four-step procedure for solving variation problems to solve: Radiation machines, used to…

A: Given that: Radiation machine, used to treat tumors, produce an intensity of radiation that varies…

Q: 2. The intensity at which an object is illuminated varies inversely as the square of its distance…

A: Let the intensity of the light be N and the distance from the light source be d.  Then we have that…

Q: The time it takes to cover the distance between two otes by car varies inversely with the speed of…

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Q: What is the height of a projectile in 2 seconds if its initial height is 500 ft, and it has a…

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Q: The distance, d, that a rock falls when dropped fro a cliff varies directly as the square of time,…

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Q: The number of gallons of water, W, used when taking a shower varies directly as the time, t, in…

A: Given:A Shower  lasting 5 minutes uses 5 gallons of water13 minutes=?

Q: The distance ss that an object falls varies directly with the square of the time tt. If an object…

A: Distance is proportional to square of time

Q: Use the four-step procedure for solving variation problems to solve : If all men had identical body…

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Q: The number of minutes needed to solve an Exercise Set of variation problems varies directly as the…

A: Let the number of minutes m varies directly as the number of problems n and inversely as the number…

Q: The number of minutes needed to solve an exercise set of variation problems varies directly as the…

A: Let us denote, T= time (minutes), N= number of problems, P= number of people  working on the…

Q: Suppose you drive for 60 miles at 60 miles per hour, then for 60 miles at 30miles per hour. In miles…

A: First, you drive 60 miles in 1 hour. Second, you drive 60 miles at 30 miles per hours that is the…

Q: The lifting force, F, exerted on an airplane wing varies jointly as the area, A, of the wing's…

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Q: 4. Let c vary directly as d. If c = 210 when d = 35, what is the equation of variation?

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Q: The number of kilograms of water in a human body varies directly as themass of the body. A 96-kg…

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Q: The length a spring stretches is directly proportional to the force applied. If a force of 8 pounds…

A: The length a spring stretches is directly proportional to the force applied. A force of 8 pounds…

Q: If Y varies inversely as the square root of X, what happens to Y if X is decreased in the ratio…

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Q: A cyclist rides at a rate of 16 mph for 45 min.

A: Speed of cyclist is 16 mph i.e. In 1 hour cyclist cover 16 miles

Q: The magnitude of earthquake A is 3.8. If earthquake B is 10,000 times as intense as earthquake A,…

A: The solution is given below :

Q: You run along a path at a constant speed of 4.7 mph. How far do you travel in 1.7 hrs? In 3.8 hours?

A: The given speed is 4.7 mph. Evaluate the distance travelled in 1.7 hours as follows. Therefore, the…

Q: The maximum load of a horizontal beam that is supported at both ends varies jointly as the width and…

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Q: Two​ hikers, Sonia and​ Tony, leave the same point at the same time. Sonia walks due east at the…

A: Given, Speed of Sonia = 4 miles/hr Speed of Tony = 3.2 miles/hr O = Starting Point Let, Sp =…