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 graph the solution on a number line.(1 point)

Question

Responses

Answer 1

To determine how much Maeve needs to earn each weekend, we begin by calculating how much more money she needs to reach her goal.

1. Determine the total amount Maeve wants: \[ \text{Total Goal} = 1250 \]

2. Subtract the amount she currently has: \[ \text{Amount Needed} = 1250 - 130 = 1120 \]

3. Determine how many weekends there are: Maeve has 8 weekends to earn money.

4. Calculate how much she needs to earn each weekend: To find the amount earned per weekend, divide the total amount needed by the number of weekends: \[ \text{Amount per Weekend} = \frac{1120}{8} = 140 \]

So, Maeve needs to earn $140 each weekend.

Graphing on a Number Line:

1. Draw a horizontal line to represent the number line.
2. Mark the point for $0 on the left and $250 on the right.
3. Then, mark points based on relevant amounts:
   • $130 (current amount)
   • $250 (halfway goal)
   • $1,250 (goal)
   • Mark $140 increments for each weekend.

Here’s how the number line would look, though I'll describe the points:

• Start at 0
• Mark the points: 130 (current), 140 (weekend earnings), 1120 (total needed), and 1250 (goal).

You could visually represent it like this:

|--|--|--|--|--|--|--|--|--|--|--|--|--|--
0  100  200  300  400  500  600  700  800  900  1000  1100  1200  1300
                       *           *
                       130         1250

• Each * represents key amounts, with the first * at 130 (current amount) and the second * at 1250 (goal).

Conclusion

Maeve needs to earn $140 each weekend to reach her goal of $1,250 by the end of the summer.