The total operating costs of a monorail are paid using a combination of passenger fares and tax revenue. The farebox recovery ratio is the ratio of passenger fares to total operating costs . A monorail in one city has 69 million in operating costs per year, and uses 30 million from tax revenue. To the nearest hundredth, what is the farebox recovery ratio for the city? square

To find the farebox recovery ratio, we need to calculate the ratio of passenger fares to the total operating costs. <br /><br />Given:<br />- Total operating costs = $69 million<br />- Tax revenue = $30 million<br /><br />First, calculate the passenger fares:<br />\[ \text{Passenger fares} = \text{Total operating costs} - \text{Tax revenue} \]<br />\[ \text{Passenger fares} = 69 \text{ million} - 30 \text{ million} \]<br />\[ \text{Passenger fares} = 39 \text{ million} \]<br /><br />Next, calculate the farebox recovery ratio:<br />\[ \text{Farebox recovery ratio} = \frac{\text{Passenger fares}}{\text{Total operating costs}} \]<br />\[ \text{Farebox recovery ratio} = \frac{39 \text{ million}}{69 \text{ million}} \]<br />\[ \text{Farebox recovery ratio} = \frac{39}{69} \]<br /><br />Simplify the fraction:<br />\[ \text{Farebox recovery ratio} = \frac{39}{69} = \frac{13}{23} \]<br /><br />Convert the fraction to a decimal:<br />\[ \text{Farebox recovery ratio} \approx 0.5652 \]<br /><br />To the nearest hundredth:<br />\[ \text{Farebox recovery ratio} \approx 0.57 \]<br /><br />Therefore, the farebox recovery ratio for the city is:<br />\[ \boxed{0.57} \]