Asked by Stacie
1. 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.
a. What are the variables (the input and output)?
b. Solve for k.
c. Write the direct variation equation.
d. How long will it take you to travel 320 miles? Please write your answer in a complete sentence.
a. What are the variables (the input and output)?
b. Solve for k.
c. Write the direct variation equation.
d. How long will it take you to travel 320 miles? Please write your answer in a complete sentence.
Answers
Answered by
Reiny
a) depends on how you define your variables
e.g. let the time be t hours, and the distance be d miles
then :
d = kt
plug in d= 180 and t = 4.5 to solve for k
rewrite the equation , now that you know k
sub in d = 320 and solve for t
e.g. let the time be t hours, and the distance be d miles
then :
d = kt
plug in d= 180 and t = 4.5 to solve for k
rewrite the equation , now that you know k
sub in d = 320 and solve for t
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