Define and Interpret Linear

Question

At a manufacturer, c pounds of concrete are made by adding w gallons of water to a cement mixture. If w=c+5, how many additional gallons of water are needed to make each additional pound of concrete?

A. None

B. One

C. Two

D. Three

Answer 1

Since w = c + 5

If you need an additional pound of concrete, that means you are adding +1 to c

w + 1 = (c+1) + 5

The slope is a 1:1 ratio, and thus you only need to add 1 gallon of water to get 1 additional pound of concrete. All the +5 says is that once w = 5, you have 0 pounds of concrete.

When w = 6, you have c =1 lb

w = 7, c =2 lb

w = 8, c = 3 lb... etc