Alan's wife sends him to the store to buy pickles and ice cream. Ice cream cost 5 dollars per pound and pickles costs 2 dollars per pound. Alan has 40 dollars in his wallet.Let x be the number of pounds of ice cream and y be the number of pounds of pickles that Alan purchases. State the inequality that represents his budget, and graph the solution that represents the possible combinations of x and y. Express your answer with the standard form ax+by on the left side.

Answer:[tex]5x+2y \leq 40[/tex]The graph in the attached figureStep-by-step explanation:Letx -----> the number of pounds of ice cream y ----> the number of pounds of pickleswe know thatThe number of pounds of ice cream multiplied by 5 dollars per pound plus the number of pounds of pickles multiplied by 2 dollars per pound must be equal at most to $40soThe inequality that represent this situation is[tex]5x+2y \leq 40[/tex]using a graphing toolThe solution is the triangular shaded areaRemember that the number of pounds cannot be a negative numbersee the attached figure