jjackson232323
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Many points for whoever can help me with this. Just help me please.

I need shown work.

Total distance traveled varies directly with the amount of time spent traveling. If traveling 4.5 hours results in 180 miles traveled, write the direct linear variation equation. Then determine how long it would take you to travel 320 miles, assuming you traveled at the same rate.

⦁ What are the variables (the input and output)?
⦁ Solve for k.
⦁ Write the direct variation equation.
⦁ How long will it take you to travel 320 miles?

Write your answer in a complete sentence.

Respuesta :

texaschic101
the variables...x (input) = hours and y (output) = miles traveled

solve for k....k = y/x =  180/4.5 = 40

direct variation equation : y = kx.....y = 40x

320 miles : 320 = 40x......x = 320/40....x = 8
so it would take 8 hrs to travel 320 miles



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