Question

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.

Note: You will find the option to add a >
, <
, ≥
, or ≤
symbol in the Comparison (<)
keyboard.

(1 point).

1 answer

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

  1. Subtract 53 from both sides: \[ 4x + 53 - 53 \geq 69 - 53 \] \[ 4x \geq 16 \]

  2. Divide both sides by 4: \[ \frac{4x}{4} \geq \frac{16}{4} \] \[ x \geq 4 \]

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

The answer in inequality form is: \[ x \geq 4 \]