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.

Responses

An illustration shows a number line labeled Maeve’s Earnings This Summer. The number line ranges from 0 to 180 in 20 unit increments. A closed point is plotted at 140. An arrow extends from that point to the right and goes beyond 180.
- image with description: An illustration shows a number line labeled Maeve’s Earnings This Summer. The number line ranges from 0 to 180 in 20 unit increments. A closed point is plotted at 140. An arrow extends from that point to the right and goes beyond 180. - - no response given

An illustration shows a number line labeled Maeve's Earnings. The number line ranges from 0 to 90 in 10 unit increments. A closed point is plotted at 10. An arrow extends from that point to the right and goes beyond 90.
- image with description: An illustration shows a number line labeled Maeve's Earnings. The number line ranges from 0 to 90 in 10 unit increments. A closed point is plotted at 10. An arrow extends from that point to the right and goes beyond 90. - - no response given

An illustration shows a number line labeled Maeve's Earnings Each Weekend. The number line ranges from 0 to 180 in 20 unit increments. A closed point is plotted at 140. An arrow extends from that point to the right and goes beyond 180.
- image with description: An illustration shows a number line labeled Maeve's Earnings Each Weekend. The number line ranges from 0 to 180 in 20 unit increments. A closed point is plotted at 140. An arrow extends from that point to the right and goes beyond 180. - - not selected, this is the correct answer

An illustration shows a number line labeled Maeve’s Earnings Each Weekend. The number line ranges from 0 to 2,000 in 500 unit increments. A closed point is plotted at 1,250. An arrow extends from that point to the right and goes beyond 2,000.

1 answer

To determine how much Maeve needs to earn each weekend to reach her financial goal, we can break the problem down as follows:

  1. Maeve currently has $130.
  2. She wants to have at least $1,250 by the end of the summer.
  3. There are 8 weekends she has to earn extra money.

First, we need to find out how much money she still needs after accounting for her current savings:

\[ \text{Amount needed} = \text{Goal} - \text{Current savings} = 1250 - 130 = 1120 \]

Next, we'll divide this amount by the number of weekends to find out how much she needs to earn each weekend:

\[ \text{Earnings per weekend} = \frac{\text{Amount needed}}{\text{Number of weekends}} = \frac{1120}{8} = 140 \]

Therefore, Maeve needs to earn $140 each weekend.

Graphing the Solution

On a number line, we can represent her weekend earnings starting from $0 and extending beyond the maximum amount. Since she needs to earn $140 each weekend, we can plot this amount on a number line as a closed point. The arrow extending from this point indicates that she could earn more if desired.

So, the correct illustration matches the description:

  • An illustration shows a number line labeled "Maeve's Earnings Each Weekend." The number line ranges from 0 to 180 in 20 unit increments. A closed point is plotted at 140, and an arrow extends from that point to the right and goes beyond 180.

This visualization indicates that earning $140 per weekend is a minimum requirement for her to reach her goal, with the possibility of earning more.