Question

George earns $50 every day plus a bonus of $5 per product he sells. His total daily earnings are at least $60. The situation can be modeled by this inequality: 50+59>(or more than) 60. Which number line represents the number of products George can sell in a day to satisfy the inequality?

Answer 1

We know that George earns $50 every day plus $5 per product.

If x is the number of products he sold, then his total daily earnings can be written as:

`50+5x`

We also know that this total daily earnings are at least $60, so we can combine with the previous expression and get:

`50+5x\ge60`

From this inequality, we can calculate the inequality for x:

`\begin{gathered} 50+5x\ge60 \\ 5x\ge60-50 \\ 5x\ge10 \\ x\ge(10)/(5) \\ x\ge2 \end{gathered}`

Answer: As the number of products (x) he sold are at least 2 (or "2 or more"), the right graph for the inequality is Option D.