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Aubrey is working two summer jobs, making $8 per hour babysitting and making $10 per hour walking dogs. In a given week, she can work no more than 14 total hours and must earn no less than $120. If xx represents the number of hours babysitting and yy represents the number of hours walking dogs, write and solve a system of inequalities graphically and determine one possible solution.

Respuesta :

blove12

Answer:

possible solutions (2,11) (3,10)

Step-by-step explanation:

Variable Definitions:

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x=the number of hours babysitting

y=the number of hours walking dogs

“no more than 14 hours"→14 or fewer hours

Therefore the total number of hours worked in both jobs, x+y, must be less than or equal to 14

x+y≤14

“no less than $120"→$120 or more

Aubrey makes $8 per hour babysitting, so in x hours she will make 8x dollars. Aubrey makes $10 per hour walking dogs, so in y hours she will make 10y dollars. The total amount earned 8x+10y must be greater than or equal to $120:

8x+10y≥120

Solve each inequality for y:

x+y≤14

y≤14−x

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8x+10y≥120

10y≥120−8x

y≥ -4/5x+12

Graph y≤14−x by shading down and graph y≥-4/5x+12 by shading up

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