Question

to ship a load of goods, a company must pay an initial fee. it must also pay a per - pound rate. the graph shows how much it costs the company to ship goods.
determine whether each statement is true or false.
the slope of the line between point a and point b is 1.5.
the shipping rate is $1.50 per pound.
the slope of the line between point b and point c is greater than the slope of the line between point a and point b.
the slope of the line is constant.

Explanation:

1. Analyze "The slope of the line between point A and point B is 1.5."

Step1: Identify coordinates of A and B

Point A: (10, 45), Point B: (30, 75)

Step2: Calculate slope (m = (y2 - y1)/(x2 - x1))

$m = \frac{75 - 45}{30 - 10} = \frac{30}{20} = 1.5$

The slope of the cost - weight line represents the per - pound shipping rate. From the previous calculation, the slope between A and B (and since it's a straight line, the slope is constant) is 1.5, which means the rate is $1.50 per pound.

Step1: Identify coordinates of B and C

Point B: (30, 75), Point C: (50, 105)

Step2: Calculate slope between B and C

$m = \frac{105 - 75}{50 - 30} = \frac{30}{20} = 1.5$
The slope between A and B is also 1.5, so they are equal.

Answer:

True

2. Analyze "The shipping rate is $1.50 per pound."