Question

1. proportional reasoning with weight (ma.7.ar.3.2)

the table shows the weight of a space probe on several planets when the weight of that same probe on earth
is 200 pounds.
use proportional reasoning to find each related weight. round to the nearest tenth.
mercury: 125 pounds, earth:
earth: 90 pounds, venus:
saturn: 448 pounds, earth:

Explanation:

Step1: Find the ratio for each planet

For Venus: The ratio of weight on Venus to weight on Earth is $\frac{180}{x}$ (where $x$ is the weight on Earth). We know that when the weight on Venus is $180$ lb and assume the weight on Earth is $200$ lb (from the problem context of proportional reasoning). The ratio is $\frac{180}{200}=0.9$. So if the weight on Earth is $90$ lb, then the weight on Venus is $0.9\times90 = 81$ lb.
For Mercury: The ratio of weight on Mercury to weight on Earth is $\frac{76}{200}=0.38$. If the weight on Earth is $125$ lb, then the weight on Mercury is $0.38\times125=47.5$ lb.
For Saturn: The ratio of weight on Saturn to weight on Earth is $\frac{224}{200} = 1.12$. If the weight on Earth is $400$ lb (assuming a general proportional setup, since the problem uses proportional reasoning with Earth as a base), then the weight on Saturn is $1.12\times400 = 448$ lb.

Answer:

Mercury: $47.5$ pounds, Venus: $81$ pounds, Saturn: $448$ pounds.