Ask a New Question
Menu

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 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. 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 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 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.
Skip to navigation.....

1 answer

To determine how much Maeve needs to earn each weekend, we can start with the information provided:

  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.

Let \( x \) be the amount she needs to earn each weekend. The total amount of money she wants by the end of the summer can be expressed with the equation:

\[ 130 + 8x \geq 1250 \]

Now, we can solve for \( x \):

  1. Subtract $130 from both sides: \[ 8x \geq 1250 - 130 \] \[ 8x \geq 1120 \]

  2. Now, divide both sides by 8: \[ x \geq \frac{1120}{8} \] \[ x \geq 140 \]

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

Now, to graph the solution on a number line:

  • The number line will extend from 0 to 180 in increments of 20.
  • We will place a closed point at 140 to indicate that it is included in the solution, and then an arrow extending to the right towards infinity to show that she can earn more than $140 each weekend.

Since the number line with closed point at 140 and an arrow extending right matches the first response option provided, that is the correct representation of the solution.

So, the correct choice is:

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.