the company president sets a goal that the percentage of working phones must increase from 30% to at least…

the company president sets a goal that the percentage of working phones must increase from 30% to at least 80% by the end of the day. which inequality models this situation? multiple - choice options: (3 + x)/(10 + x)≥8/10, 3x/10x≥8/10, (3/x + 1)/(10/x)≥8/10, (3 + x/x)/(10 + x/x)≥8/10

the company president sets a goal that the percentage of working phones must increase from 30% to at least 80% by the end of the day. which inequality models this situation? multiple - choice options: (3 + x)/(10 + x)≥8/10, 3x/10x≥8/10, (3/x + 1)/(10/x)≥8/10, (3 + x/x)/(10 + x/x)≥8/10

Answer

Explanation:

Step1: Let the number of additional working - phones be $x$.

Initially, assume the total number of phones is 10. The initial number of working phones is $30%\text{ of }10 = 3$. After adding $x$ working phones, the number of working phones is $3 + x$, and the total number of phones is $10+x$.

Step2: Set up the percentage inequality.

The goal is for the percentage of working phones to be at least $80%$. The formula for percentage is $\frac{\text{Number of working phones}}{\text{Total number of phones}}\times100%$. So, $\frac{3 + x}{10 + x}\geq\frac{8}{10}$.

Answer:

$\frac{3 + x}{10 + x}\geq\frac{8}{10}$