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.

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

Let x = the number of packages of pasta and y = the number of jars of pasta sauce.

Identify each point as either a solution to the system or not a solution to the system of inequalities.

(1, 12) Solution or Not a Solution

(2, 10) Solution or Not a Solution

(4, 5) Solution or Not a Solution

(6, 10) Solution or Not a Solution

(12, 8) Solution or Not a Solution

(18, 6) Solution or Not a Solution

Answer 1

(1,12)=no solution

(2,10)=Solution

(4,5)=Solution

(6,10)=no solution

(12,8)=no solution

(18,6)=no solution

Explanation:

You have to add the money and pounds each together. For example, the equation you would set up would be, for money: 1(1)=1 and the jars 3(12)=36. Together, it equals 37, which would be over the total amount that Tyler may buy. If you do all of these to show your work, then the answers are the ones shown above.

Answer 2

1,12/ Not a solution

2,10/ solution

4,5/ solution

6,10/ not a solution

12,8/ not a solution

18,6/ not a solution

Explanation:

all you have to do is put it into the equation.

for example:

1,12

1x1+12x3= $37

1x1+12x1.5= 19lbs

This is not a solution because he can carry it but doesn't have the money to buy it.