Question

Alejandra is packing a bag for a flight. The airline has a baggage weight limit, and Alejandra has already packed her bag with some essentials. All she has left is her outfits and shoes, which must weigh less than 30 pounds total.

If Alejandra estimates that one outfit weighs two pounds and one pair of shoes weighs three pounds, which graph represents the number of outfits and shoes that Alejandra can pack while staying under the weight limit?

Answer 1

Answer:

Graph A is correct

Step-by-step explanation:

Let suppose no. of shoes be x

and outfits be y

According to question

3x+2y=30

x=30-2y/3

by solving that equation we get,

(10,0),(8,3),(6,6)

which satisfy Graph A

Answer 2

Answer:

B.

Step-by-step explanation:

Shoes weight is 3 pounds.

For 30 pounds we get 10 shoes. (0,10).

Outfit weight is 2 pounds.

For 30 pounds we get 15 outfits. (15,0).

So the line should have these two points.

And in the question it is mentioned that

" weigh less than 30 pounds total "

So, the graph should be below the line and not including the line. So the line should be dotted..

So the answer is option B.

Hope you are satisfied with the solution.