Question

Scientists are preparing two satellites to be launched. The equation y=400x represents the number of miles, y, that the satellite, Space Explorer B, flies in x hours. The satellite, Space Explorer A, flies 36400 miles in 13 hours. How many fewer miles does Space Explorer B travel in one hour than Space Explorer A?

Answer 1

Answer:

2400 miles

Step-by-step explanation:

So the first equation is pretty straight forwards, it's in the slope-intercept form y=mx+b where m is the slope, and b is y-intercept, since as x increases by 1, the value y increases by m, which by definition is what the slope is, so m is the slope. In this context the slope is how many miles in x hours. So Space Explorer B flies 400 miles per hour. The amount of miles that Space Explorer A flies per mile can be calculated by dividing the 36400 by the 13 hours it had to travel. This gives you 2800 miles. So to find how many fewer miles Space Explorer B travels than Space Explorer A you subtract the 2 slopes. 2800 - 400 = 2400. So Space Explorer B travels 2400 fewer miles than Space Explorer A