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likoan [24]
3 years ago
12

Tyrone likes to snack on his big bag of candy. He takes 8 pieces of candy from the bag each time he snacks. After eating 18 snac

ks, there are only 6 pieces of candy remaining in the bag.
The number c of pieces of candy remaining in the bag is a function of s, the number of snacks Tyrone eats.
Mathematics
1 answer:
Anna71 [15]3 years ago
6 0
<h3>c = 150 - 8s is the required function</h3>

<em><u>Solution:</u></em>

Given that,

Tyrone takes 8 pieces of candy from the bag each time he snacks

After eating 18 snacks, there are only 6 pieces of candy remaining in the bag

The number c of pieces of candy remaining in the bag is a function of s, the number of snacks Tyrone eats.

Therefore,

"c" is the number of pieces of candy remaining in the bag

"s" is the number of snacks Tyrone eats

Thus,

total number of candy in the bag = 18 \times 8 + 6 = 150

Remaining candy in the bag = Total candy - candy he ate

c = 150 - 8s

Thus the function is found

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kotykmax [81]

Hi!

We can see here that this is a composition question.

And since the composition of g of f of x is x, we can conclude that g(x) is the inverse of f(x) (if you're confused, search up the definition of an inverse function).

To find an inverse function, we can take the f(x) function and change the positions of the x and y variables.

f(x)=\frac{e^7^x+\sqrt{3}}{2}

y=\frac{e^7^x+\sqrt{3}}{2}

x=\frac{e^7^y+\sqrt{3}}{2}

2x=e^7^y+\sqrt{3}

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Which is answer choice A, to check your work, you can solve the composition of g(f(x)), which will get you x.

g(f(x))

g(\frac{e^7^x+\sqrt{3}}{2})

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\frac{ln(e^7^x+\sqrt{3})-\sqrt{3}}{7}

The natural log and e cancel.

\frac{7x+\sqrt{3}-\sqrt{3}}{7}

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7s cancel.

x

Hope this helps!

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