1. The tension t in a spring varies directly with the distance d the spring is stretched. If the tension is 46 pounds when the spring is stretched 4 inches, find the tension when the spring is stretched twice as far. 2. The time t it takes to fill a bucket varies directly with the volume g of the bucket. If it takes 2 minutes to fill a 8-gallon bucket, how long will it take to fill a 5-gallon bucket?

3. The power P in an electric circuit varies directly with the square of the current I. If P = 30 when I = 2, find P when I = 5.

4. The amount of money M a woman makes per week varies directly with the number of hours h she works per week. If she works 28 hours and earns $137, how much does she make if she works 42 hours?

5. The weight F of a body varies inversely with the square of the distance d between the body and the center of the Earth. If a man weighs 250 pounds 4,000 miles from the center of the Earth, how much will he weigh at a distance of 5,000 miles from the center of the Earth.