Question

let ( d ) be the unknown distance the satellite travels (in kilometers). using the values below, create a proportion that can be used to find ( d ).
values:
( d )
( 350 )
( 40 )
( 8 )

Explanation:

Step1: Determine the rate

The rate is distance over time, so the rate for the known values is $\frac{350}{40}$.

Step2: Set up the proportion

Let \( d \) be the unknown distance and 8 be the unknown time. The rate should be the same, so we set up the proportion $\frac{350}{40}=\frac{d}{8}$.

Step3: Solve for \( d \)

Cross - multiply: \( 40d = 350\times8 \). Then \( 40d=2800 \). Divide both sides by 40: \( d=\frac{2800}{40}=70 \).

Answer:

The proportion is $\frac{350}{40}=\frac{d}{8}$ and the value of \( d \) is 70.