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you can spend at most $20 on tomatoes and red peppers for a soup. tomatoes cost $2.50 per pound and red peppers cost $4 per pound. write and graph an inequality that represents the amounts of tomatoes and red peppers you can buy.

you can spend at most 20 on tomatoes and red peppers for a soup tomatoes cost 250 per pound and red peppers cost 4 per pound write and graph an inequality that class=

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InesWalston

Answer-

[tex]\boxed{\boxed{2.50x+4y\leq 20}}[/tex]

Solution-

The total money that you have or maximum amount that you can spend = $20

Let's assume,

x = Number of tomatoes bought

y = Number of red peppers bought

Price of tomatoes per pound = $2.50

Price of red peppers per pound = $4

Hence,

Total cost of tomatoes = $2.5x

Total cost of red peppers = $4y

As you can spend at most (any amount less than or equal to) $20, so

[tex]2.5x+4y\leq 20[/tex]  

Taking a point as origin (0, 0) and then putting it in the equation,

[tex]\Rightarrow 2.5(0)+4(0)\leq 20\\\\\Rightarrow 0\leq 20[/tex]

As this satisfies, so the shaded region will be towards that point i.e origin

From the graph, the two solutions that are on the boundary line are (8, 0), (5, 0)

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