Grace will receive $50 plus $5 per child for babysitting this afternoon. She is hoping to make at least $63 to buy a new video game tonight. How many children does she need to babysit? Write an inequality that could be used to solve this problem. Use the letter x as the variable. Do not solve the inequality.

Question

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Answer 1

To represent Grace's earnings from babysitting as an inequality, we can start by noting her earnings formula:

Grace's total earnings = $50 + $5 per child, which can be expressed as: \[ 50 + 5x \]

where \( x \) is the number of children she babysits. Grace wants to make at least $63, which translates to the inequality: \[ 50 + 5x ≥ 63 \]

This is the inequality that can be used to solve the problem.