SOLUTION: I am so confused about f(x) I am sure I am over thinking but I am having trouble grasping this word problem. A small bicycle manufacturer has daily fixed costs of $1952 and each

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Question 1079068: I am so confused about f(x) I am sure I am over thinking but I am having trouble grasping this word problem.
A small bicycle manufacturer has daily fixed costs of $1952 and each bicycle costs $72 to manufacture. Let x represent the number of bicycles manufactured and (f)x represents the cost of manufacturing
Write a linear function that models this situation.
If f(5)
Find f(5).
Interpret your answer in the context of this problem.
f(5).
This means that the cost of manufacturing
how many bicycles in a day is
.
(f) Find the value of x if f(x)equals 2888
This means that the cost of manufacturing __________

bicycles in a day is _____________
.

Found 2 solutions by Boreal, MathLover1:
Answer by Boreal(15235) (Show Source):
You can put this solution on YOUR website!
Cost=1952+72x
when x=5, cost is 1952+360=$2312.
When f(x)=2888
2888=1952+72x
72x=936
x=13 bicycles
The cost of manufacturing 13 bicycles in a day is $2888.

Answer by MathLover1(20849) (Show Source):
You can put this solution on YOUR website!

The fixed cost of manufacturing the bicycles is equal to $. The variable cost of manufacturing one bicycle is $.
The cost of manufacturing bicycles as a function a function of the number of bicycles manufactured is
If , means
so,

Interpret your answer in the context of this problem.
.
This means that the cost of manufacturing bicycles in a day is $ .
.
(f) Find the value of if

This means that the cost of manufacturing __________ bicycles in a day is _____ $________
.