Helena will receive $53 plus $4 per kid for babysitting this afternoon. She is hoping to make at least $69. How many kids does she need to babysit? She writes the inequality 4x+53≥69 , where x equals the number of kids, to help figure this out. Solve her inequality. Use the letter x as your variable and write your x term first.

Question

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Answer 1

To solve the inequality Helena wrote, \(4x + 53 \geq 69\), we will follow these steps:

1. Subtract 53 from both sides of the inequality:

   \[ 4x + 53 - 53 \geq 69 - 53 \]

   This simplifies to:

   \[ 4x \geq 16 \]

2. Next, divide both sides by 4:

   \[ \frac{4x}{4} \geq \frac{16}{4} \]

   Simplifying this gives:

   \[ x \geq 4 \]

So, Helena needs to babysit at least 4 kids to make at least $69.