Question

A grocery store sells granola in bulk. What is the price per pound for the granola?

Answer 1

$2.50 because 2 pounds are $5

Answer 2

Answer:

$2.5

Step-by-step explanation:

By the graph, the price and weight of the granola bulks are related by a line of the form

$y=m\cdot x$

where y is the cost of the bulk, x is the weight of the bulk and m is the slope of the line. To compute the slope of the line, note that (0,0) and (2,5) are points on the graph, hence

$m=\dfrac{5-0}{2-0}=\dfrac{5}{2}$

Therefore, the equation of the line giving the cost-weight relation of a bulk is

$y=\dfrac{5}{2} \cdot x$

and so the price of 1 pound of granola is

$y = \dfrac{5}{2}\cdot 1=\frac{5}{2}=2.5 \quad \text{pounds.}$