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?

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 5059gt class=

Respuesta :

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:

[tex]50+5x[/tex]

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

[tex]50+5x\ge60[/tex]

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

[tex]\begin{gathered} 50+5x\ge60 \\ 5x\ge60-50 \\ 5x\ge10 \\ x\ge\frac{10}{5} \\ x\ge2 \end{gathered}[/tex]

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.

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