Final answer:
The correct equation to represent the proportion 1 cm/0.5 m = 5x cm/29 m using cross multiplication is 29 = 250x, after converting 0.5 meters to 50 cm for consistent units.
Step-by-step explanation:
When solving the proportion 1 cm / 0.5 m = 5x cm / 29 m, you can use cross multiplication to find the value of x. First, convert 0.5 meters to centimeters, which is 50 cm, to have both ratios in the same units. Once the units are consistent, cross multiply to get 1 × 29 = 5x × 50. This simplifies to 29 = 250x. To solve for x, divide each side by 250, resulting in x = 29/250. Therefore, the correct equation that represents this proportion is 29 = 250x, which means none of the given options (a, b, c, d) are correct.