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Jason is planning a vacation. He wants to limit the total cost of his motel stays, X, and food, Y, to at most $1,800. Based on the length of his vacation, he figures that he will spend at least $300 on food. Write a system of linear in inequalities in 2 variables based on the given information, then graph that inequalities using a graphing utility. Which graph shows the range of possible costs for motels and food?

Jason is planning a vacation. He wants to limit the total cost of his motel stays-example-1
Jason is planning a vacation. He wants to limit the total cost of his motel stays-example-1
Jason is planning a vacation. He wants to limit the total cost of his motel stays-example-2
Jason is planning a vacation. He wants to limit the total cost of his motel stays-example-3
Jason is planning a vacation. He wants to limit the total cost of his motel stays-example-4

1 Answer

4 votes

Given:

For the first statement, the eqution is,


x+y\leq1800

For the second statement, the equation is,


y\ge300

Hence, the correct graph is

Jason is planning a vacation. He wants to limit the total cost of his motel stays-example-1
User BENARD Patrick
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