Question

You are pouring 50 pounds of sand into a wagon. The linear function y= 10x represents the weight y (in pounds) of the sand in the wagon after you have poured x bags of sand into the wagon. Which graph represents the situation?​

Answer 1

You have 50 lb of sand, and you are pouring this into a wagon.

We have the relationship:

y = 10lb*x

Where x is the number of bags of sand that you poured into the wagon.

We know that in total, you have 50 lb of sand, then let's find the domain of this function (Domain is the set of the possible values of x)

The minimum will be when x = 0, you poured 0 bags at this point.

And the maximium will be when y = 50lb

y = 50lb = 10lb*x

50lb/10lb = x = 5

Then the domain is 0 ≤ x ≤ 5

Then we only will graph this in that range of values.

The graph will be something like: