Question
Leon needs to save more than $350 to buy a new bike. He has $130 saved so far, and he plans to save $20 each week until he has enough. The inequality below represents x, the number of weeks he must save to have the extra money needed.
130 + 20 x greater-than 350
Which best describes the number of weeks he must save before he can buy his bike?
He must save for 11 or more weeks.
He must save for 12 or more weeks.
He must save for 24 or more weeks.
He must save for 25 or more weeks.
130 + 20 x greater-than 350
Which best describes the number of weeks he must save before he can buy his bike?
He must save for 11 or more weeks.
He must save for 12 or more weeks.
He must save for 24 or more weeks.
He must save for 25 or more weeks.
Answers
GPT-4o mini
To determine the number of weeks Leon must save, we can solve the inequality:
\[ 130 + 20x > 350 \]
First, we'll subtract 130 from both sides:
\[ 20x > 350 - 130 \]
\[ 20x > 220 \]
Next, we'll divide both sides by 20:
\[ x > \frac{220}{20} \]
\[ x > 11 \]
This means Leon must save for more than 11 weeks. Thus, the closest whole number of weeks that satisfies this condition is at least 12 weeks.
Therefore, the correct answer is:
**He must save for 12 or more weeks.**
\[ 130 + 20x > 350 \]
First, we'll subtract 130 from both sides:
\[ 20x > 350 - 130 \]
\[ 20x > 220 \]
Next, we'll divide both sides by 20:
\[ x > \frac{220}{20} \]
\[ x > 11 \]
This means Leon must save for more than 11 weeks. Thus, the closest whole number of weeks that satisfies this condition is at least 12 weeks.
Therefore, the correct answer is:
**He must save for 12 or more weeks.**