The manager of a plant nursery bought 120 lb of soil to use for potting plants. The manager can put 5 lb into each of the small pots and 12 lb into each of the large pots. The manager made a sketch to show the line representing the different combinations of pots that can be used. The x-axis represented the number of small pots and the y-axis represented the number of large pots. The manager labeled only the intercepts.

Which points did the manager label?

(0, 10) and (24, 0)

(0, 24) and (10, 0)

(0, 5) and (12, 0)

(0, 12) and (5, 0)

Question

The manager of a plant nursery bought 120 lb of soil to use for potting plants. The manager can put 5 lb into each of the small pots and 12 lb into each of the large pots. The manager made a sketch to show the line representing the different combinations of pots that can be used. The x-axis represented the number of small pots and the y-axis represented the number of large pots. The manager labeled only the intercepts.

Which points did the manager label?

(0, 10) and (24, 0)

(0, 24) and (10, 0)

(0, 5) and (12, 0)

(0, 12) and (5, 0)

mathmale · Answer

Sorry, I closed your question by mistake.  please repost it.
Let x represent the number of small pots, and y the number of large pots.  Then the weight of the soil that goes into small pots is 5x and that into large posts is 12 y.

What is the sum of 5x and 12 y?  See the problem statement.