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

$2.5

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=(5-0)/(2-0)=(5)/(2)`

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

`y=(5)/(2) \cdot x`

and so the price of 1 pound of granola is

`y = (5)/(2)\cdot 1=(5)/(2)=2.5 \quad \text{pounds.}`