Question

The Sugar Sweet Company delivers sugar to its customers. Let be the total cost to transport the sugar (in dollars). Let C be the amount of sugar transported (in tons). The company can transport up to 40 tons of sugar. Suppose that C = 140S + 3500 gives C as a function of S .

Answer 1

The given equation C = 140S + 3500 represents the total cost (C) to transport sugar as a function of the amount of sugar transported (S) in tons. Here's how to interpret this equation:

C represents the total cost in dollars.

S represents the amount of sugar transported in tons.

The equation tells us that the total cost C is calculated by multiplying the amount of sugar transported S by 140 and then adding 3500 to the result. In other words, for each ton of sugar transported, it costs $140, and there is an additional fixed cost of $3500.

For example, if the company transports 10 tons of sugar (S = 10), the total cost would be:

C = 140 * 10 + 3500 = 1400 + 3500 = $4900

If they transport 20 tons of sugar (S = 20), the total cost would be:

C = 140 * 20 + 3500 = 2800 + 3500 = $6300

And so on. This equation allows you to calculate the total cost for transporting any amount of sugar up to 40 tons.