Step-by-step explanation:
Step one:
given that lunch cost $9.25 per meal
and dinner cost $11.75 per meal
Note: you are to eat twice in a day for seven days
so the total number of meals will be 2*7= 14 meals
also, your budget is $100 for these 14 meals, hence you must not spend past this value of $100
step two:
let the numbers of Lunch be x
and the number of Dinners be y
Therefore
the inequality based on the number of meals based on the constraints is
[tex]x+y\leq 14\\\\ 9.25x+11.75y\leq 100[/tex]