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BaLLatris [955]
3 years ago
6

A jar contains 1,200 M&M's and everyday your family eats 1/5th of the candies. After how many days will there be 314 M&M

's in the jar?
How do you set up the equation also?
Mathematics
1 answer:
mrs_skeptik [129]3 years ago
7 0
The equation is 314 = 1,200 - 240x

1,200 is the number of M&M's it starts with
The problem said the family eats 1/5th of the candy every day
1/5 of 1,200 is 240
It is a -240 because the amount of m&m's is getting fewer each day
The x stands for the number of days

Sorry but I'm not sure if I could answer your problem exactly
The answer is 3.69 days
Because there isn't an exact day that there would exactly 314 M&M's left

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\dfrac{df^{1}(16)}{dx} = \pm \dfrac{1}{10}

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f(x) = x^2 + 4x - 5

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y = x^2 + 4x - 5

x = y^2 + 4y - 5

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(y + 2)^2 = x + 9

y + 2 = \pm\sqrt{x + 9}

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f^{-1}(x) = -2 \pm\sqrt{x + 9}

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Now we find the derivative of the inverse function.

\dfrac{df^{-1}(x)}{dx} = \pm \dfrac{1}{2}(x + 9)^{-\frac{1}{2}}

\dfrac{df^{-1}(x)}{dx} = \pm \dfrac{1}{2\sqrt{x + 9}}

Now we evaluate the derivative of the inverse function at x = 16.

\dfrac{df^{-1}(16)}{dx} = \pm \dfrac{1}{2\sqrt{16 + 9}}

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\dfrac{df^{-1}(16)}{dx} = \pm \dfrac{1}{10}

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