Find the constant of variation​ (proportionality) and write the formula that is expressed by the indicated variation. t is inversely proportional to y, and t = -50 when y = 8. what is the constant of variation? Write a formula that represents the statement.t=____________________

Question
Asked Nov 8, 2019
Find the constant of variation​ (proportionality) and write the formula that is expressed by the indicated variation.
 
t is inversely proportional to y, and t = -50 when y = 8.
 
what is the constant of variation?
 
Write a formula that represents the statement.
t=____________________
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Expert Answer

Step 1

Consider the given information

t is the inversely proportional to y

then

tα.
У
then
k
where kis the constant
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tα. У then k where kis the constant

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Step 2

And at x=-50 , y=8

Then

Substitute in ...

k
t =
У
k
-50
k =-400
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k t = У k -50 k =-400

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