Question

The Sugar Sweet Company is going to transport its sugar to market. It will cost $3500 to rent trucks plus $225 for each ton of sugar transported. The total cost, C (in dollars), for transporting N tons is given by the following function. C(n)=3500+225n)

Answer 1

Answer:to answer this question you have to look at what the relationship is between tones of sugar and the equation C(n) = 6,500 + 225n. The question gave you a hint in parenthesis in the form of (n) tons. This statement means that the amount of sugar is n so for question 1 the 13 tons is the n value.

Q1:

C(13) = 6,500 + 225*13

C(13) = 6,500 + 2,925

C(13) = 9,425

so what does the 9,425 mean? This is the cost to transport 13 tons of sugar.

Q2:

so this part n is unknown and we are given the C(n) number.

11,450 = 6,500 + 225n

subtract the 6500 from both sides

11,450 - 6,500 = 225n

evaluate

4,950 = 225n

I don't like the n on the right side so I am going to rewrite the equation

225n = 4,950

divide by 225

n = 4,950/225

evaluate

n = 22

So this result means that the company would transport 22 tones of sugar.

Have a great day!

Explanation: