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neonofarm [45]
3 years ago
7

Find the output of the function y = x - 16 if the input is -28. Help please

Mathematics
1 answer:
Serhud [2]3 years ago
5 0

Answer:

-44

Step-by-step explanation:

If the input is -28, that means x = -28, so we plug -28 in for x and solve for y, which is the output:

y = x - 16

y = -28 - 16 = -44

The answer is thus -44.

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SOLUTION

From the question, we are told that y varies inversely as x

This is mathematically written as

\begin{gathered} y\propto\frac{1}{x} \\ \propto\text{ is a sign of proportionality } \end{gathered}

Now, we will remove the proportionality sign and replace it with equal to sign =

If we do this, we will intoduce a constant k

\begin{gathered} y\propto\frac{1}{x} \\ y=k\times\frac{1}{x} \\ y=\frac{k}{x} \end{gathered}

So we have the formula

y=\frac{k}{x}

We will substitute the values of x for 10 and y for 8 into the formula to get k, we have

\begin{gathered} y=\frac{k}{x} \\ 8=\frac{k}{10} \\ k=8\times10 \\ k=80 \end{gathered}

Now, we will substitute k for 80 back into the formula to get the inverse function, we have

\begin{gathered} y=\frac{k}{x} \\ y=\frac{80}{x} \end{gathered}

Hence the answer is option C

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Step-by-step explanation:

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