Question
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Maeve currently has \( \$ 130 \) and plans to earn more money each of the 8 weekends this summer. She wants at least \( \$ 1,250 \) by the end of the summer. How much does she need to earn each weekend? Assume she earns the same amount each weekend. Solve her problem, and then grap the solution on a number line. (1 point)

Ask by Perkins Fernandez. in the United States
Jan 23,2025

Real Tutor Solution

Tutor-Verified Answer

Answer

Maeve needs to earn at least \$140 each weekend.

Solution

To determine how much Maeve needs to earn each weekend, let's set up the equation: \[ 130 + 8x \geq 1250 \] **Step 1:** Subtract \$130 from both sides: \[ 8x \geq 1120 \] **Step 2:** Divide both sides by 8: \[ x \geq 140 \] **Solution:** Maeve needs to earn **at least \$140** each weekend. **Graph on a Number Line:** ``` <----|----|----|----|----|----|----|----|----> 100 120 140 160 180 200 [======●==========================> 140 ``` - **●** represents the starting point at \$140. - The arrow **→** indicates that Maeve needs to earn \$140 or more each weekend.

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Mind Expander

To determine how much Maeve needs to earn each weekend, we first need to find out how much more money she needs to reach her goal of \( \$ 1,250 \). 1. Calculate how much more she needs: \[ 1250 - 130 = 1120 \] 2. Divide that amount by the number of weekends: \[ \frac{1120}{8} = 140 \] Therefore, Maeve needs to earn at least \( \$ 140 \) each weekend to reach her goal of \( \$ 1,250 \) by the end of the summer. Now, let's graph this on a number line: - Mark a point at \( 0 \) and \( 250 \). - Draw a line to represent her earnings each weekend. A point at \( 140 \) will be highlighted, indicating the minimum amount she needs to earn. - The range for earnings can go beyond \( 140 \) if she wants to earn more than \( 1,250 \). Now, she’s set for the summer! 💰 Enjoy those weekend hustles, Maeve! 🌞

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