Q:

Brianna owns a food truck that sells tacos and burritos. She only has enough supplies to make 110 tacos or burritos. She sells each taco for $3.50 and each burrito for $7. Brianna must sell no less than $490 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. i need 2 inequalities

Accepted Solution

A:
Answer:The solution in the attached figureOne possible solution is the point (30,60)Step-by-step explanation:Letx -----> represents the number of tacos soldy -----> represents the number of burritos soldwe know that[tex]x+y \leq 110[/tex] ------> inequality A[tex]3.50x+7y \geq 490[/tex] -----> inequality Busing a graphing toolThe solution is the triangular shaded areasee the attached figureOne possible solution is the point (30,60)Remember that if a ordered pair is a solution of the system of inequalities, then the ordered pair must lie on the shaded area of the solutionsoThat means----> The number of tacos sold is 30 and the number of burritos soldVerifySubstitute the value of x and the value of y in each inequalityInequality A[tex]30+60 \leq 110[/tex][tex]90 \leq 110[/tex] ----> is trueInequality B[tex]3.50(30)+7(60) \geq 490[/tex][tex]525 \geq 490[/tex] ----> is trueThe ordered pair satisfy both inequalities, then the ordered pair is a solution of the system