At a refinery 144,000 tons of sand are required to produce each 125,000 barrels of a tarry material. How many tons of sand are required to produce 2,500 barrels of this tarry material?

2,880 tons of sand

Step-by-step explanation:

In this question, we are asked to calculate the amount of tons of sand required to produce a certain amount of tarry materials if a certain amount of sand had produce an amount of tarry materials.

We work as follows:

First, we write the relation that 144,000 tons of sand produces 125,000 barrels of tarry material, then x of tons would produce 2,500 barrels of tarry materials

To find c, we cross multiply:

x * 125,000 = 2,500 * 144,000

x = (2,500 * 144,000)/125,000

x = 2,880

graph b

step-by-step explanation:

one solution- graph a (clear intercepting point.)

no solution- graph b (they're parallel, there will never be a point of interception.)

infinite solutions- graph c (all points intercept.)