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?

a.(0, 5)(0, 5) and (12, 0)(12, 0)
b.(0, 10)(0, 10) and (24, 0)(24, 0)
c.(0, 12)(0, 12) and (5, 0)(5, 0)
d.(0, 24)(0, 24) and (10, 0)

Answer 1

Explanation:

Given that 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.

Let no of 5 lbs pots be x and 12 lbs pots be y.

Then total no of weight of soil used will be

`5x+12y`

Hence
`5x+12y =120`

x intercept of this line is
`(120)/(5) =24`

y intercept of this line is
`(120)/(12) =10`

Hence correct answer is option b.

Answer 2

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.
The equation will be :
5x + 12y = 120
The only set of coordinate pairs that satisfy's the equation are :
b.(0, 10)(0, 10) and (24, 0)(24, 0)