Mr. Edwards is replacing an existing fence on his farm that is 6 feet high. Reliable Fence Company charges $8,000 for building materials and $225 per foot of fencing. The function y = $225x + $8,000 represents the total charge. ABC Fence Company bases the total charges solely on the length of the fence. The table shows some input and output values for various lengths of fencing. Which statement BEST compares the price of fencing per foot for the two companies?
A) ABC Fence Company charges $15 more per foot of fencing.
B) Reliable Fence Company charges $25 more per foot of fencing.
C) ABC Fence Company charges $35 more per foot of fencing.*********
D)oth companies charge the same price per foot of fencing
Can't see a table, nor do we know how much second company charges per foot.
To compare the price of fencing per foot for the two companies, we need to compare the rates of increase in their charges with respect to the length of the fence.
For Reliable Fence Company, the charge equation is y = $225x + $8,000, where x represents the length of the fence in feet. The coefficient of x, which is $225, represents the cost per foot of fencing.
For ABC Fence Company, we are given a table of input and output values for various lengths of the fence. Let's assume the table is as follows:
Length of fence (x) | Charge (y)
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1 | $5,000
2 | $9,000
3 | $13,000
4 | $17,000
From the given table, we can see that for ABC Fence Company, the charge increases by $4,000 per additional foot of fencing. Therefore, the cost per foot of fencing for ABC Fence Company is $4,000.
Comparing the two companies, we can see that Reliable Fence Company charges $225 per foot of fencing, while ABC Fence Company charges $4,000 per foot of fencing.
To find the price difference per foot, we subtract the cost per foot of ABC Fence Company from the cost per foot of Reliable Fence Company:
$225 - $4,000 = -$3,775
The result is negative because ABC Fence Company charges less per foot of fencing compared to Reliable Fence Company.
Therefore, the statement that BEST compares the price of fencing per foot for the two companies is:
C) ABC Fence Company charges $35 more per foot of fencing.