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)

Responses

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 alt text: 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.

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 alt text: 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.

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.
Image with alt text: 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.

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.

1 answer

To find out how much Maeve needs to earn each weekend, let's start with the information given:

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

First, we need to calculate how much more money she needs to earn to reach her goal:

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

Next, we know she plans to earn this amount over 8 weekends. Therefore, we calculate the amount she needs to earn each weekend:

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

Thus, Maeve needs to earn at least $140 each weekend.

Graphing the Solution:

On the number line for "Maeve's Earnings Each Weekend," you would mark a closed point at 140, with an arrow extending to the right beyond 180 to represent that she can earn any amount greater than or equal to 140.

The correct illustration that matches this solution is:

An illustration showing a number line labeled Maeve's Earnings Each Weekend, with a closed point plotted at 140 and an arrow extending from that point to the right.