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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 1415CorrectIfy Is Inversely Proportional To X And Y 71 When X 16 Find Yifx 7 Round Off Your Answer To The Nearest Hundredth class=

Sagot :

Answer:

[tex]y=-31.06[/tex]

Step-by-step explanation:

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

[tex]y=\beta x[/tex]

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:

[tex]\begin{gathered} y=\beta x\rightarrow-71=\beta\times16\rightarrow\beta=-\frac{71}{16} \\ \end{gathered}[/tex]

This way, our formula would be:

[tex]y=-\frac{71}{16}x[/tex]

Plugging in x = 7,

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

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