You can work no more than 60 hours each week at your two jobs. Dog walking pays $7 per hour and your sales job at Computers & More, Inc. pays $12 per hour. You need to earn at least $450 each week to pay your bills. Your friend solves the system of inequalities and tells you that a possible solution is (-3, 50). Is this a possible solution, why or why not?

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heycheekymichi heycheekymichi · Answer 1 · 2018-01-03T21:24:13+01:00

(-3,50) is not a possible solution because it is impossible to work negative hours.

Hope this helps c:

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lidaralbany lidaralbany · Answer 2 · 2019-07-25T08:13:16+02:00

No, this is not a possible solution.

Since, the number of hours worked could not be negative.

The value of each of the first and second coordinate has to be greater than or equal to zero.

Let x be the number of hours worked at Dog walking .

and y be the number of hour of work at Computers & More, Inc.

It is given that:

You can work no more than 60 hours each week at your two jobs.

This means that the inequality which models this situation is:

[tex]x+y\leq 60[/tex]

Also,

You need to earn at least $450 each week to pay your bills.

This means that:

[tex]7x+12y\geq 450[/tex]

One of the friends find the possible solution as: (-3,50).

No, this could not be a possible solution.

Since, the number of hours worked at any company could not be negative.

As either he will not work in that company or he will do a job of some hours.

This means that the domain of x and y is:

x,y≥0