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

Answer:

$y=-31.06$

Step-by-step 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:

$\begin{gathered} y=\beta x\rightarrow-71=\beta\times16\rightarrow\beta=-\frac{71}{16} \\ \end{gathered}$

This way, our formula would be:

$y=-\frac{71}{16}x$

Plugging in x = 7,

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