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Solutions to Real-World Inequality Problems Quick Check 1 of 51 of 5 Items Question 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 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. 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. 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. 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. Skip to navigation

1 answer

To find out 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. Calculate her target earnings:

    • Maeve wants to have at least $1,250.
    • She currently has $130.

    This gives us: \[ 130 + 8x \geq 1250 \] where \( x \) is the amount she needs to earn each weekend.

  2. Solve for \( x \):

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

    • Divide both sides by 8: \[ x \geq \frac{1120}{8} \] \[ x \geq 140 \]

Maeve needs to earn at least $140 each weekend.

  1. Graph the solution:
    • On the number line representing Maeve’s earnings each weekend, you would place a closed point at 140 and shade to the right to indicate that she can earn any amount greater than or equal to $140.

The correct response would be a graph showing "Maeve's Earnings Each Weekend" with a closed point at 140 and an arrow extending to the right. This represents all possible earnings of $140 or more.

If the provided visual options included this representation accurately, that would be the right one to select.