Question

use the graph to answer the questions.
cost ($)
weight (tons)
(a) how much does the cost increase for each ton of sugar being transported?
$square$
(b) what is the slope of the line?
$square$

Explanation:

Step1: Identify intercept and a point

The y-intercept (when $x=0$) is $y=900$. When $x=2$, $y=2100$.

Step2: Calculate cost increase per ton

Subtract intercept from the point's y-value, divide by x-value:
$\text{Cost increase} = \frac{2100 - 900}{2 - 0} = \frac{1200}{2} = 600$

Step3: Calculate slope of the line

Slope is $\frac{\Delta y}{\Delta x}$, using the same points:
$\text{Slope} = \frac{2100 - 900}{2 - 0} = 600$

Answer:

(a) $\$600$
(b) $600$