Write an equation for the cost per person for the scenario below: Matt's Math Shack wants to make fun Math name cards for your school's next senior prom. To start the order for decorations, it would be $85. Each name card would be $5. You hope to get 1 name card for every one going to prom, and split the overall cost amongst those students.

what is the graph

step-by-step explanation:

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191 students play sports and ninety-seven 10th graders were surveyed.

step-by-step explanation:

third choice down

step-by-step explanation:

the first inequality is based on the number of adults and campers, and the second inequality is based on the cost of feeding both the adult and the camper.

we know that there is room for 525 people max.   it's ok to have less than 525, but it's not ok to have more than 525, so the inequality is less than or equal to.   the number combination of adults (x) and campers (y) cannot exceed this 525 max.   therefore:

x + y ≤ 525

now we talk about cost.   it costs $9 to feed one adult, so depending upon the number of adults you have (x) depends upon how much it will cost to feed that number of adults.   same with the campers, who cost $5 to feed.   the adults can be represented by 9x and the campers can be represented by 5y.   since the budget cannot exceed 1,200, the second inequality is:

9x + 5y ≤ 1200