Question

scientists are preparing two satellites to be launched. the equation \\(y = 400x\\) represents the number of miles, \\(y\\), that the satellite, space explorer a, flies in \\(x\\) hours. the table below represents the number of miles, \\(y\\), that the satellite, space explorer b, flies in \\(x\\) hours.

space explorer b

\

$$\begin{array}{|c|c|} \\hline \\text{hours } (x) & \\text{miles } (y) \\\\ \\hline 9 & 34200 \\\\ \\hline 19 & 72200 \\\\ \\hline 21 & 79800 \\\\ \\hline 24 & 91200 \\\\ \\hline \\end{array}$$

how much faster does space explorer b travel per hour than space explorer a?

Explanation:

Find the speed of Space Explorer A

$$ \text{Speed}_A = 400\text{ miles per hour} $$

Find the speed of Space Explorer B

$$ \text{Speed}_B = \frac{34200}{9} = 3800\text{ miles per hour} $$

Calculate the difference in speed

$$ \text{Difference} = 3800 - 400 = 3400\text{ miles per hour} $$

Answer:

3400