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

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 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. 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 alt text: 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.

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.

Answer 1

To determine how much Maeve needs to earn each weekend to reach her goal of at least $1,250, we can set up the following equation:

1. Current Amount: $130
2. Goal: $1,250
3. Number of Weekends: 8
4. Earnings Per Weekend: Let \( x \) be the amount she earns each weekend.

The total amount she will have at the end of the summer is:

\[ 130 + 8x \geq 1250 \]

Now, subtract 130 from both sides:

\[ 8x \geq 1250 - 130 \]

\[ 8x \geq 1120 \]

Next, divide both sides by 8 to solve for \( x \):

\[ x \geq \frac{1120}{8} \]

\[ x \geq 140 \]

This means Maeve needs to earn at least $140 each weekend.

Graphing the Solution

On a number line labeled "Maeve’s Earnings Each Weekend", you would plot:

• A closed point (or dot) at 140 to indicate that this is where her earnings must reach or exceed.
• An arrow extending from this point to the right indicating that any earnings above $140 will also satisfy her goal.

Based on the descriptions you provided, the second illustration matches this scenario:

"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."

This correctly represents the solution, where Maeve earns at least $140 each weekend.