Step-By-Step Explanation:
Let x be the amount of sales of Tonia in a year.
8% of her sales is:
[tex]x\cdot\frac{8}{100}=0.08x[/tex]Her salary is this plus $35,000. If 'y' is the total yearly salary of Tonia, the equaltion is:
[tex]y=0.08x+35,000[/tex]We want y > 50,000. Replacing this value and solving for x:
[tex]\begin{gathered} 50,000<0.08x+35,000 \\ 50,000-35,000<0.08x \\ 15,000<0.08x \\ x>\frac{15,000}{0.08} \\ x>187,500 \end{gathered}[/tex]Answer:
The equality is 50,000 < 0.08x + 35,000
Tonia needs to sell over 187,500 sales to earn $50,000