Question

finding slope given the graph of a line in quadrant 1 that models a real... the sugar sweet company needs to transport sugar to market. the graph below shows the transporting cost (in dollars) versus the weight of the sugar being transported (in tons). use the graph to answer the questions. (a) how much does the cost increase for each ton of sugar being transported? (b) what is the slope of the line?

Explanation:

Step1: Identify two points on the line

From the graph, the line passes through (0, 500) and (5, 5000).

Step2: Calculate the slope

Slope formula: $\frac{y_2 - y_1}{x_2 - x_1}$
Substitute points: $\frac{5000 - 500}{5 - 0} = \frac{4500}{5} = 900$

Step3: Relate slope to cost increase per ton

The slope equals cost increase per ton.

Answer:

(a) 900
(b) 900