Question

The cost (in dollars) of making N birthday cakes is represented by C= 24n + 35. How many birthday cakes are made when the cost is $395? Show your work and include units in your Answer.

Answer 1

The cost is $395.  You are trying to find n in 24n + 35.

Set C = 395.

You get 395 = 24n + 35.

Solve for n by first subtracting 35 from both sides of the equation:

395 - 35 = 360.

24n + 35 - 35 = 24n.

Now you have 360 = 24n.  Divide both sides by 24 to get:

15 = n.

So, 15 birthday cakes are made when the cost is $395.

Answer 2

The Number of cakes that can be made with $395 is 15.

The cost function :

C(n) = 24n + 35

The number of cakes, n that can be made with $395:

Substitute, C(n) = 395 into the equation :

395 = 24n + 35

24n = 395 - 35

24n = 360

Divide both sides by 24

n = 360 / 24

n = 15

Therefore, 15 cakes can be made with $395

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