Answer:
[tex]2x + 50,000 \ge 70,000[/tex].
[tex]x \ge 10,000[/tex].
Step-by-step explanation:
What's the total income of Ms. Wolf in a year?
The annual income of Ms. Wolf comes in two parts:
- The fixed salary of $50,000, and
- The 4% commission on shares she sold.
How many commission does Ms. Wolf receive for each share she sold? [tex]\$\;50 \times 4\% = \$\;50 \times 0.04 = \$\;2[/tex].
Let the number of shares that Ms. Wolf sold be [tex]x[/tex]. Ms. Wolf will receive a commission of [tex]\$\;2x[/tex].
Total annual income of Ms. Wolf: [tex]\$\; (50,000 + 2x)[/tex].
The phrase "at least" indicates that [tex]\$\; (50,000 + 2x)[/tex] shall be greater than or equal to $70,000. That is:
[tex]\$\; (50,000 + 2x)\ge \$\;70,000[/tex].
[tex]2x + 50,000 \ge 70,000[/tex].
[tex]x \ge 20,000[/tex].
