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3 years ago

HELP PLS ITS DUE IN A FEW MIN

Mathematics

1 answer:

castortr0y [4]3 years ago

7 0

Answer: S = 50W + 75

Step-by-step explanation:

I got to this answer by a bit of trial and error.

I first noticed that the relationship between the balance in the savings account from week to week was increasing by 50.

But when I tried W = S + 50, that did not work at all because when I plug in 125 for S, I should get 1 for W, but instead I get 175. So I realized I had something backwards.

I then tried listing the relationship as ordered pairs of (W, S).

For example I did (1, 125), (2, 175), (3, 275) and so on. So I thought of S like y and W like x where S is a function of W. I used the equation y = mx +b or S=mW + b as an outline. I figured that W would have to be multiplied by 50 to get that jump between the numbers in the S column. But I could not do S=50W + 125 because if W = 1, S = 175 when S should equal 125. So I subtracted 50 from the 125 and got 75. So my final equation was S=50W+75. If you test it with the ordered pairs listed above, you will see that the equation checks out. Try it yourself! I hope this was helpful in some way. Good luck!

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3 years ago

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Answer:

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Step-by-step explanation:

Given function.

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To find the inverse function $f^{-1}(x)$

Step 1:

Replace $f(x)$ with $y$ in the function.

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Step 2:

Interchange $y$ with $x$ in the equation.

$x=6y-4$

Step 3:

Solve for $y$ .

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Dividing each term by 6 to isolate $y$

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$\frac{x}{6}+\frac{4}{6}=y$

Simplifying fractions by dividing the numerator and denominator by their GCF.

$\frac{x}{6}+\frac{4\div 2}{6\div 2}=y$

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Thus the equation of $y$ is:

$y=\frac{x}{6}+\frac{2}{3}$

Step 4:

Replace $y$ with $f^{-1}(x)$

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