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You need to earn at least $1700 in order to afford a special vacation. You've found 2 part-time jobs: painting fences at $12/hr and managing a laundry mat for $18/hr. However, you can only work a maximum 13 hours per week. If x is the number of hours spent painting fences and y is the number of hours spent managing the laundry mat, which of the following system of inequalities best describes your scenario:
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You need to earn at least 1700 in order to afford a special vacation Youve found 2 parttime jobs painting fences at 12hr and managing a laundry mat for 18hr How class=

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calculista

Answer:

[tex]12x+18y\geq 1,700[/tex]

[tex]x+y\leq 13[/tex]

[tex]x\geq 0[/tex]

[tex]y\geq 0[/tex]

Step-by-step explanation:

Let

x ----> the number of hours spent painting fences

y ----> the number of hours spent managing the laundry mat

we know that

you can only work a maximum 13 hours per week

so

[tex]x+y\leq 13[/tex] ----> inequality A

Remember that the word"at least" means "greater than or equal to"

so

[tex]12x+18y\geq 1,700[/tex] ----> inequality B

Remember that the number of hours cannot be a negative number

so

[tex]x\geq 0[/tex] ---> inequality C

[tex]y\geq 0[/tex] --> inequality D

therefore

The system of inequalities that describe the situation is

[tex]12x+18y\geq 1,700[/tex]

[tex]x+y\leq 13[/tex]

[tex]x\geq 0[/tex]

[tex]y\geq 0[/tex]

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