To determine how much Maeve needs to earn each weekend, we can set up the following equation. Maeve currently has $130 and wants at least $1,250 by the end of the summer. She will earn money over 8 weekends, and we’ll let \( x \) represent the amount she earns each weekend.
The total amount Maeve will have at the end of the summer is:
\[ 130 + 8x \geq 1250 \]
Now, we can solve for \( x \):
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Subtract 130 from both sides: \[ 8x \geq 1250 - 130 \] \[ 8x \geq 1120 \]
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Divide by 8: \[ x \geq \frac{1120}{8} \] \[ x \geq 140 \]
Thus, Maeve needs to earn at least $140 each weekend.
To graph the solution on a number line, you would create a number line that ranges from 0 to, say, 180 in increments (which is appropriate for this context). You would mark the closed point at 140 (indicating that 140 is included in the solution) and then draw an arrow extending to the right of 140 (indicating all values above 140 are included in the solution).
Based on your options, the correct illustrative response would be:
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.
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