Grace will receive $50 plus $5 per child for babysitting this afternoon. She is hoping to make atleast $63 dollars to buy a new video game tonight. How many children does she need to babysit? Write and inequality that could be used to solve this problem. Use the letter x as a variable, and write the inequality so that the x term comes first. (1 point)
Wrong!
The bot's own equation would show
50 + 5x ≥ 63
5x ≥ 13
x ≥ 2.6
So at least 3 kids are needed, 2 will earn her only $60
Let x be the number of children Grace needs to babysit.
The given information states that Grace will receive $50 plus $5 per child for babysitting this afternoon. Therefore, the amount she will earn can be represented as:
5x + 50
Grace is hoping to make at least $63 dollars, so the inequality that represents this is:
5x + 50 ≥ 63
x ≥ 11
50 + 5x ≥ 63
To solve this problem, let's break it down step by step:
Step 1: Write an expression for the amount of money Grace will receive for babysitting.
Since Grace will receive $50 plus $5 per child, the total amount she will receive can be written as: 50 + 5x, where x represents the number of children she needs to babysit.
Step 2: Set up an inequality for the amount of money Grace needs to make.
Grace wants to make at least $63, so we can set up the following inequality: 50 + 5x ≥ 63.
Step 3: Rearrange the inequality to have the x term come first.
To have the x term come first, we can subtract 50 from both sides of the inequality:
5x ≥ 63 - 50.
Simplifying the right side of the inequality:
5x ≥ 13.
So, the inequality that can be used to solve this problem with the x term coming first is: 5x ≥ 13.