Step-by-step explanation:
the total cost is, of course, first the cost to buy the copier, and then the running costs per copy made.
it is really that easy.
the equations just put this into mathematical form :
A
y = 0.02×x + 800
B
y = 0.06×x + 600
please notice, we put $600 or $800 in as constant term, because these costs are the starting costs that we have, even if we never make a single copy (x = 0).
and then the total cost goes up with every copy we make.
I cannot draw here.
so, to find the number of copies where both copier systems would cost the same, means we have to say both equating deliver the same result :
0.02×x + 800 = 0.06×x + 600
200 = 0.04×x
x = 200 / 0.04 = 5000
when making 5000 copies both costs are the same.
<span>Understand that a decimal is any number written in the base-10 system....
Represent decimals using area models.
State the fraction (tenths or hundredths) that is equivalent to a given decimal.
<span>
Compare the values of decimals (tenths or hundredths) using area models and/or a number line.</span></span>
The expression x-4 will come out to be a negative integer. That means X <em>has to be </em>something that when 4 is taken away from it, the answer is still negative.
Let's try 5.
5-4 is 1. Is 1 negative? No, so that doesn't work.
4-4 is 0. 0 isn't negative either, so that doesn't work.
3-4 is -1. Is -1 negative? YES! Let's try it for 2 as well, just to be safe.
2-4 is -2. Still negative.
X can be anything less than 4.
