solve a system of inequalities graphically and determine one possible solution (give the 2 inequalities to graph)

Question

Grayson owns a food truck that sells tacos and burritos. He only has enough supplies to make 110 tacos or burritos. He sells each taco for $3.25 and each burrito for $7. Grayson must sell a minimum of $560 worth of tacos and burritos each day. If x represents the number of tacos sold and y represents the number of burritos sold, write and solve a system of inequalities graphically and determine one possible solution.

Answer 1

3.25x +7y = 560

x,y</=110

7(110) = 770>560

110 burritos, 0 tacos is one solution

another is

let x+y=110

then substitute 110-x for y and solve for x

3.25x + 7(110-x) = 560

3.25x-7x = 560-770

3.75x = 210

x = 210/3.75 = 56 tacos

y = 110-56= 54 burritos

then

56 tacos and 54 burritos is another solution

3.25(56) + 7(54)

= 182+378

=560

the two inequalities

are

0</= x+y </=110

3.25x+7y >/=560