Answer:
Solutions: (2,10), (4,5)
Not solutions: (1,12), (6,10), (12,8), (18,6)
Step-by-step explanation:
Let x be the number of packages of pasta and y be the number of jars of pasta sauce. If pasta costs $1 for a 1-pound package, then x packages of pasta cost $x and weigh x pounds. If pasta sauce costs $3 for a 1.5 pound jar, then y jars cost $3y and weigh 1.5y pounds.
1. Tyler has $36, then
2. Tyler can carry up to 20 pounds of food in his backpack, then
You get the following system of inequalities:
Now substitute the coordinates of each point:
<u>(1,12):</u>
False, because first inequality doesn't hold.
<u>(2,10):</u>
True, both inequalities hold.
<u>(4,5):</u>
True, both inequalities hold.
<u>(6,10):</u>
False, because secondt inequality doesn't hold.
<u>(12,8):</u>
False, because second inequality doesn't hold.
<u>(18,6):</u>
False, because second inequality doesn't hold.