The inequality 10x + 20y 500 models all of the combinations of scores of 10 and 20 points that will give a total greater than 500 points in a game. What is not true about the values for x and y?
A.They will be whole numbers.
B.They will be positive numbers.
C.They will all be in the first quadrant.
D.They will each be greater than 5.

Question

The inequality 10x + 20y > 500 models all of the combinations of scores of 10 and 20 points that will give a total greater than 500 points in a game. What is not true about the values for x and y?
A.They will be whole numbers.
B.They will be positive numbers.
C.They will all be in the first quadrant.
D.They will each be greater than 5.

melstutes · Answer

please help

jtvatsim · Answer

Hmm, kind of a strange question... let's check and make sure that we both understand the question. Can you give me an example of values for x and y that would satisfy the equation?

melstutes · Answer

No

jtvatsim · Answer

Alright, let's work with an easier problem first then. Let's say that we are looking at the equation x + y > 10, does it make sense that x = 12 and y = 3 is one example (out of many) that would satisfy the equation?

jtvatsim · Answer

because 12 + 3 > 10

melstutes · Answer

So would the answer be it is greater than 5?

jtvatsim · Answer

for the easy example, perhaps, but to find out for sure for the harder one, we should graph the solutions.

jtvatsim · Answer

we have 10x + 20y > 500, which we can write as 20y > -10x + 500 or y > -1/2 x + 25. Does that make sense so far?

melstutes · Answer

Yes

jtvatsim · Answer

OK, so graphing we have the following

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