Question

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.)

Answer 1

`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}`