A woodworking artist makes two types of carvings: type X and type Y. He spends 2 hours making each type X carving and 3 hours making each type Y carving, and he can spend up to 30 hours each week making carvings. His materials cost him $6 for each type X carving and $4 for each type Y carving, and he must keep his weekly cost for materials to $120 or less. If x is the number of type X carvings he makes in a week and y is the number of type Y carvings he makes in a week, which of the following systems of inequalities models this situation?

A. 2x + 3y ≥ 30, 6x + 4y ≤ 120

B. 2x + 3y ≥ 30, 6x + 4y ≥ 120

C. 2x + 3y ≤ 30, 6x + 4y ≤ 120

D. 2x + 3y ≤ 30, 6x + 4y ≥ 120

A linear system is one in which the parameter in the equation has a degree of one. It might have one, two, or even more variables.

A woodworking artist makes two types of carvings: type X and type Y.

He spends 2 hours making each type X carving and 3 hours making each type Y carving, and he can spend up to 30 hours each week making carvings.

His materials cost him $6 for each type X carving and $4 for each type Y carving, and he must keep his weekly cost for materials to $120 or less.

If x is the number of type X carvings he makes in a week and y is the number of type Y carvings he makes in a week.

Then the linear systems of inequalities models this situation will be

2x + 3y ≥ 30 and 6x + 4y ≤ 120

Thus, the correct option is A.

More about the linear system link is given below.

https://brainly.com/question/20379472

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