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kvasek [131]
3 years ago
8

Claudia spends $2.15 a day for lunch. Her cafeteria lunch account has a balance of $48.00. Which equation can be used to determi

ne the maximum number of days, d, that she can eat without adding money to her lunch accou
Mathematics
1 answer:
andreev551 [17]3 years ago
7 0

Answer:

d≤48/2.15

Step-by-step explanation:

Step one:

Given data

Claudia spends $2.15 a day for lunch.

We are told that her balance is  $48.00

let the number of days be d

Step two:

The maximum number of days she can eat is given as

d≤48/2.15

d≤22.33 days

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Answer:

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Step-by-step explanation:

There are two ways to solve this problem: you could graph the system and check which points fall in the solution set or you could substitute the x  and y values of each point into the inequalities that make up the system. I'm going to use the former because it's quicker, in my opinion.  

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Rewriting the first inequality gives us:

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To graph this, draw the line  y=-\frac{2}{5}x +2 and then, because the sign is " ", shade below the line and make it a dashed line. This is the red inequality on the graph.

Rewriting the second inequality gives us:

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To graph this, draw the line  y\leq \frac{3}{4}x+2 and then, because the sign is " \leq", shade below the line and keep it a solid line. This is the blue inequality on the graph.

The solution set of the system will be the region where the two shaded areas overlap, which is the purple area.

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Now, all we need to do is check whether each point lies in the purple region on the graph.

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Finally, (0,0) lies in the purple region, so it is a solution to the system.

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