Question

Tyler went to the supermarket to buy food for a food pantry. He has $36, and can carry up to 20 pounds of food in his backpack.

Answer 1

Answer:

option A: x + 1.5y ≤ 20

option C: x + 3y ≤ 36

option D: x ≥ 0

option H: y ≥ 0

Step-by-step explanation:

It says to assume x = the number of packages of pasta and y = the number of jars of pasta sauce.

Since the number of items can not be a negative number, we have x ≥ 0 and y ≥ 0.

Condition: He has $36, and can carry up to 20 pounds of food in his backpack.

Pasta costs $1 for a 1-pound package. Pasta sauce costs $3 for a 1.5 pound jar.

If he buys 'x' packs of pasta and 'y' jars of pasta sauce, then:-

Total cost = 1x + 3y ≤ 36 dollars.

and Total weight = 1x + 1.5y ≤ 20 pounds.

Hence, we have four inequalities:-

option A: x + 1.5y ≤ 20

option C: x + 3y ≤ 36

option D: x ≥ 0

option H: y ≥ 0