Carlos is hoping to save at least $200 in the next four weeks. His mom gives him $30, and he earns money each Saturday morning at his grandmother’s store. Write an inequality for the amount of money Carlos will need to earn each Saturday morning, and describe the solutions. Assume Carlos will earn the same amount each Saturday morning.(2 points)

Question

Carlos is hoping to save at least $200 in the next four weeks. His mom gives him $30, and he earns money each Saturday morning at his grandmother’s store. Write an inequality for the amount of money Carlos will need to earn each Saturday morning, and describe the solutions. Assume Carlos will earn the same amount each Saturday morning.(2 points)

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Answer 1

Bot GPT 3.5 answered
7 months ago

Let's say Carlos will need to earn x dollars each Saturday morning.

The total amount he will earn in four weeks is 4 * x.

We know that his mom gives him $30, so the total amount of money he will have in four weeks is 30 + 4 * x.

The problem states that Carlos is hoping to save at least $200, so we can write the inequality:

30 + 4 * x ≥ 200.

Simplifying the inequality, we get:

4 * x ≥ 200 - 30,

4 * x ≥ 170.

Dividing both sides of the inequality by 4, we get:

x ≥ 42.5.

Therefore, Carlos will need to earn at least $42.5 each Saturday morning. The solutions to the inequality are all the values of x greater than or equal to 42.5.