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?




1. (0, 12) and (5, 0)


2. (0, 10) and (24, 0)


3. (0, 24) and (10, 0)


4. (0, 5) and (12, 0)

Answer 1

The intercept are the number of each of the pots used when no soil was put in the other pot.
When no soil was put in the large pots, then 120/5 = 24 small pots will be filled.
When no soil was put in the small pots, then 120/12 = 10 large pots will be filled.

THerefore, the points labelled are (24, 0) and (0, 10)