At the hardware store, a pound of 3-inch nails costs $1.75. carol wants to graph the relationship between number of pounds and total cost. what should be the slope of carol’s graph and why?

The equation of the line in slope-intercept form is generally expressed as,
      y = mx + b
where m is the slope and b is the y-intercept. 

In this item, we are given that the each pound of 3-inch nails costs $1.75. That being said, it can be deduced that an additional pound of nail will add $1.75 to the total cost of the purchase. Example, if the initial cost is $100 then, an addition of one pound of nail will make the total cost would become $101.75.

If the relationship between the number of pounds and total cost is to be graphed then, the slope will be 1.75 for the reason that is already stated above.