29. $y=Hx,$ where y is the speed of the galaxies and x is the distance between them

31.

1. $y=30.5x,$ where y is the length measured in centimeters and x is the length measured in feet.

2. 1. 244 cm

   2. 162.67 cm

3. 1. 1.87 ft

   2. 4.07 ft

33. 35 g

35. ${\displaystyle \frac{3}{4}}\text{ sec}$

37. $60\text{ lb}/{\mathrm{in}}^2$

39.

1. 18.97 lb

2. 201.01 lb

41. $1.63\text{ m}/{\text{s}}^2$

43.

1. 1280 candlepower

2. 8.94 ft from the source

45. The length is multiplied by 4.

47.

1. $H=k{R}^{2}N,$ where k is a constant

2. The horsepower is multiplied by 4.

3. The horsepower is doubled.

4. The horsepower is cut in half.