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Mathematics 19 Online
OpenStudy (anonymous):

BEST ANSWER GETS MEDAL.. Part 1: Use complete sentences to describe a real-world scenario that could be represented by the inequality 5x + 2y greater than or equal to 45. Part 2: Choose one ordered pair that is a solution to the given inequality and explain what that ordered pair means in the context of your real-world scenario.

OpenStudy (skullpatrol):

Any ideas?

OpenStudy (anonymous):

i'm not entirely sure.

OpenStudy (skullpatrol):

What sort of "real-world scenarios" have you considered?

OpenStudy (anonymous):

well, job type.. maybe working, and earning money?

OpenStudy (skullpatrol):

Sounds good so far...

OpenStudy (anonymous):

ok, so how would i solve this? know how to apply the answer to the scenario

OpenStudy (skullpatrol):

That is what the question is asking YOU to do: describe a real-world scenario that could be represented by the inequality 5x + 2y > or = 45.

OpenStudy (anonymous):

so would i use interepts method to solve this?

OpenStudy (skullpatrol):

No, you have to first come up with a situation that is described by the inequality...

OpenStudy (anonymous):

well im not sure

OpenStudy (skullpatrol):

You said "well, job type.. maybe working, and earning money" can you build on that?

OpenStudy (skullpatrol):

Say $5/hr and $2/hr

OpenStudy (anonymous):

ok

OpenStudy (skullpatrol):

Let x = the number of hours worked at one type of job. Then y = the number of hours worked at a second type of job.

OpenStudy (anonymous):

ok..

OpenStudy (skullpatrol):

Can you write an expression for the sum of the money earned working at both jobs?

OpenStudy (skullpatrol):

Recall: Income = hours worked * wage per hour

OpenStudy (skullpatrol):

Therefore, Total income = income from job x + income from job y

OpenStudy (anonymous):

im not understanding this at all.

OpenStudy (skullpatrol):

Do you understand Income = hours worked * wage per hour

OpenStudy (skullpatrol):

Income for a $5/hr job would be 5x where x is the number of hours worked.

OpenStudy (anonymous):

ok i get that

OpenStudy (skullpatrol):

Income for a $2/hr job would be 2y where y is the number of hours worked.

OpenStudy (anonymous):

ok,i got that now

OpenStudy (skullpatrol):

Total income = income from job x + income from job y

OpenStudy (anonymous):

ok, i got it. and just plug in the numbers?

OpenStudy (skullpatrol):

Part 1: Use complete sentences to describe a real-world scenario that could be represented by $$\Huge 5x + 2y$$

OpenStudy (anonymous):

ok...

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