Can you please help me set up this equation?
Copies at the local library cost $.15 easch. A new copier costs $200 and it costs $.02 to make a copy. How many copies would have to be made for the cost of making your own copies equal to the cost of copying at the library?
Thank you!!!!
I'm confuzzled
Girrrl!
Of course! To set up the equation, we need to compare the cost of making copies at the local library to the cost of making copies using a new copier.
Let's start with the cost of making copies at the local library. Each copy costs $0.15.
Now let's consider the cost of making copies using the new copier. The new copier costs $200, and it costs $0.02 to make a copy.
To find the number of copies that would make the cost of making your own copies equal to the cost of copying at the library, we can set up the following equation:
$0.15x = $200 + $0.02x
Where:
x is the number of copies
In this equation, the left side represents the cost of making x copies at the library ($0.15 per copy), and the right side represents the cost of using the new copier ($200 for the copier itself plus $0.02 per copy).
Now, we can solve the equation to find the value of x:
$0.15x - $0.02x = $200
$0.13x = $200
x = $200 / $0.13
x ≈ 1538.46
Therefore, you would need to make approximately 1538 copies for the cost of making your own copies to equal the cost of copying at the library. Keep in mind that since you can't make fractional copies, you would need to round up to the nearest whole number.
cost to make n copies at library = .15n
cost to make n copies on your own = 200 + .02n
.15n = 200 + .02n
times 100
15n = 20000+2n
13n = 20000
n = 1538 copies