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3 years ago

9

The cost(in dollars) of making n birthday cakes is represted by C = 24n + 35. How many birthday cakes are made when the cost Is

$395

2 answers:

atroni [7]3 years ago

7 0

The answer is n=15.

c= 24n + 35 = 395. in the equation subtract 35 from the 35 and 35 from 395. now the equation is c= 24n = 360 . divide 24 from 24 and 24 from 360. now the equation is n = 15.

adelina 88 [10]3 years ago

6 0

Answer:

15

Step-by-step explanation:

395 = 24n +35

subtract 35 from both sides

360 =24n

divide both sides by 24

15=n

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$\frac{145}{24}\approx 6$ ***

Answers may vary depending on the person reading the graph.

It is hard to tell what they think crosses nicely.

For example, I decided that the graph crossed nicely at the following points:

$(0,3)$

$(2,8)$

$(6,5)$

Step-by-step explanation:

I see that the graph crosses at $(0,3)$ , $(2,8)$ , and $(6,5)$ .

The equation $y=ax^2+bx+c$ tells us the $y$ -intercept is $c$ since when $x=0$ we have $y=a(0)^2+b(0)+c=0+0+c=c$ .

The $y$ -intercept for our graph is $3$ . Therefore, $c=3$ .

So far we have the equation:

$y=ax^2+bx+3$ .

Let's enter the other points creating a system of linear equations to solve:

$8=a(2)^2+b(2)+3$

$5=a(6)^2+b(6)+3$

Let's simplify:

$8=4a+2b+3$

$5=36a+6b+3$

Let's subtract 3 on both sides:

$5=4a+2b$

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I choose to solve the system by elimination.

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Divide both sides by 24:

$\frac{-13}{24}=a$

Now using one of the equations we can find $b$ :

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Add 13/6 on both sides:

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Divide both sides by 2:

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$\frac{43}{12}=b$

So we have the equation:

$y=\frac{-13}{24}x^2+\frac{43}{12}+3$

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$\frac{-13}{24}+\frac{43}{12}+3$

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$\frac{73+72}{24}$

$\frac{145}{24}$

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