Abby is working two jobs, one as a carpenter and one as a website designer. she can work at most 50 hours per week without going insane, and makes $35 per hour as a carpenter and $70 an hour as a website designer. She wants to make at least $2,450 per week. Let x represent the hours as a carpenter. Use a system of inequalities to model possible solutions for Abby's scenario.

Question

Mathematics

Breanna Farrell

23 January, 02:56

Abby is working two jobs, one as a carpenter and one as a website designer. she can work at most 50 hours per week without going insane, and makes $35 per hour as a carpenter and $70 an hour as a website designer. She wants to make at least $2,450 per week. Let x represent the hours as a carpenter. Use a system of inequalities to model possible solutions for Abby's scenario.

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Answers (1)

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Gretchen Cruz · Answer 1

x + y ≤ 50 and 35x + 70y ≥ 2450

Those equations of inequality model possible solution for Abby's scenario.

Step-by-step explanation:

Abby is working two jobs, one as a carpenter and one as a website designer. She can work at most 50 hours per week without going insane.

Let us assume that Abby works x hours per week as a carpenter and y hours per week as a website designer.

Therefore, the conditional inequality is given by

x + y ≤ 50 ... (1)

Again, it is given that she makes $35 per hour as a carpenter and $70 an hour as a website designer and she wants to make at least $2,450 per week.

Therefore, another conditional inequality is

35x + 70y ≥ 2450 ... (2)

Hence, equations of inequality (1) and (2) model possible solution for Abby's scenario. (Answer)