I want to fence in a square vegetable patch. The fencing for the east and west sides costs $5 per foot, and the fencing for the north and south sides costs only $4 per foot. Find the total cost of the fencing as a function of the length of a side x (feet).

Well, it sounds like you're in a bit of a pick-"fence" situation, huh? Let's see if we can solve it with a little humor!

To find the total cost of the fencing, we'll break it down by the different sides. We've got the east and west sides, costing $5 per foot, and the north and south sides, costing $4 per foot.

Now, let's say the length of each side is x feet. So, we've got two sides that are x feet long, and two sides that are also x feet long.

For the east and west sides, we've got a total length of 2x feet, and each foot costs $5. So, the cost of those sides would be 2x * $5 = $10x.

For the north and south sides, we've also got a total length of 2x feet, but each foot only costs $4. So, the cost of those sides would be 2x * $4 = $8x.

Now, to find the total cost of the fencing, we just need to add up the costs of all the sides. So, the total cost would be $10x + $8x = $18x.

So, the total cost of the fencing as a function of the length of a side x would be $18x.

There you have it! I hope that "fenced" up your question nicely!

To find the total cost of the fencing as a function of the length of a side x, we need to determine the lengths of each side and calculate the cost for each side of the square.

Since the square has four equal sides, the length of each side is x feet. Therefore, the lengths of the east and west sides are x feet each, and the lengths of the north and south sides are also x feet each.

The cost for the east and west sides is $5 per foot, so the total cost for these two sides will be $5 multiplied by the total length of both sides, which is 2x: 5 * 2x = 10x.

Similarly, the cost for the north and south sides is $4 per foot, so the total cost for these two sides will be $4 multiplied by the total length of both sides, which is 2x: 4 * 2x = 8x.

To find the total cost, we add the cost of the east/west sides (10x) to the cost of the north/south sides (8x): 10x + 8x = 18x.

Hence, the total cost of the fencing as a function of the length of a side x is 18x dollars.

To solve this problem, we need to calculate the length of each side of the square vegetable patch and then calculate the cost of the fencing.

Since the vegetable patch is square, the length of each side is the same. Let's call this length x.

To calculate the cost of the fencing, we need to determine the length of each side and then multiply it by the respective cost per foot.

The east and west sides each have a length of x.

The north and south sides also have a length of x.

The cost of the east and west sides is $5 per foot, so the cost for both sides would be 2 * x * $5 = $10x.

The cost of the north and south sides is $4 per foot, so the cost for both sides would be 2 * x * $4 = $8x.

Finally, to find the total cost, we just need to add the costs of the east and west sides and the north and south sides:

Total cost = $10x + $8x = $18x.

Therefore, the total cost of the fencing as a function of the length of a side x is given by the expression: $18x.

c(x) = 2*5x + 2*4x = 18x