Aileen398
Answered

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The function for the cost of materials to make a biscuit is f(x) = four-fifths x + 4, where x is the number of biscuits. The function for the selling price of those biscuits is g(f(x)), where g(x) = 4x + 5. Find the selling price of 15 biscuits. please help the answers are: 16 56 65 69

Sagot :

RedRicin
We have two functions.
One determines the cost of the materials, [tex]f(x)=\frac{4}5x+4[/tex].
The other determines the selling price, [tex]g(x)=4x+5[/tex].

Now one thing to notice is that in the first function, x is the number of biscuits.
In the second function, however, x is the cost of the materials, as indicated by the price of the biscuits being g(f(x)).

So, let's find the cost of the materials for making 15 biscuits.
Use 15 for x in our function f(x).

[tex]f(15)=\frac{4}5\times15+4[/tex]
[tex]f(15)=12+4[/tex]
[tex]f(15)=16[/tex]

Now that we know f(x) (the cost of the materials), we can find g(f(x)).
Use 16 for x in our function g(x).

[tex]g(17)=4\times16+5[/tex]
[tex]g(17)=64+5[/tex]
[tex]\boxed{g(17)=69}[/tex]
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