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Question 5 of 15, Step 1 of 14/15CorrectIfy is inversely proportional to x and y = -71 when x = 16, find yifx = 7. (Round off your answer to the nearest hundredth.)

Question 5 of 15, Step 1 of 14/15CorrectIfy is inversely proportional to x and y = -71 when-example-1

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2 votes

Answer:


y=-31.06

Explanation:

Since y and x are inversely proportional, we'll have that:


y=\beta x

For a given betha value. Since we have a pair of x and y values, we can plug them in the formula and find our particular value of betha, as following:


\begin{gathered} y=\beta x\rightarrow-71=\beta*16\rightarrow\beta=-(71)/(16) \\ \end{gathered}

This way, our formula would be:


y=-(71)/(16)x

Plugging in x = 7,


\begin{gathered} y=-(71)/(16)x\rightarrow y=-(71)/(16)(7)\rightarrow y=-(497)/(16) \\ \\ \Rightarrow y=-31.06 \end{gathered}

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