The graph shows a linear relationship between x and y. Based on the graph, what is the value of x when the value of y is 10? Wil
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1 answer:
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Let the airports be airport A and airport B.
Let the plane with average rate 200mi/h leave airport A, at the same time the plane with average rate 250 mi/h leaves airport B.
Let |AC|=x, then |CB|=1800-x
Let the 2 planes pass each other at point C, after t hours.
Recall the formula: Distance= Rate*Time
so Time=Distance /Rate
(i) t=
hours
(ii) t=
hours
equalizing:
250x=200(1800-x)
2.5x=2(1800-x)
2.5x=3600-2x
2.5x+2x=3600
4.5x=3600
x=3600/4.5=800 (mi)
Having found x, now we can apply the formula distance=rate*time again to find the time t:
200*t=800
t=800/200=4 (hours)
we add 4 hours to 11 am, so the time will be 3pm
Answer: 3pm
Let the plane with average rate 200mi/h leave airport A, at the same time the plane with average rate 250 mi/h leaves airport B.
Let |AC|=x, then |CB|=1800-x
Let the 2 planes pass each other at point C, after t hours.
Recall the formula: Distance= Rate*Time
so Time=Distance /Rate
(i) t=
(ii) t=
equalizing:
250x=200(1800-x)
2.5x=2(1800-x)
2.5x=3600-2x
2.5x+2x=3600
4.5x=3600
x=3600/4.5=800 (mi)
Having found x, now we can apply the formula distance=rate*time again to find the time t:
200*t=800
t=800/200=4 (hours)
we add 4 hours to 11 am, so the time will be 3pm
Answer: 3pm
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