To solve for the number of hours, [tex]\( x \)[/tex], when the miles remaining, [tex]\( m \)[/tex], is 0, follow these steps:
1. Given the equation for the miles remaining:
[tex]\[ m = -58x + 700 \][/tex]
2. Set [tex]\( m \)[/tex] to 0, because we want to find out when there are no miles remaining:
[tex]\[ 0 = -58x + 700 \][/tex]
3. To isolate [tex]\( x \)[/tex], first move the 700 to the left side by subtracting 700 from both sides:
[tex]\[ -700 = -58x \][/tex]
4. Now, we need to solve for [tex]\( x \)[/tex]. Divide both sides of the equation by [tex]\(-58\)[/tex]:
[tex]\[ x = \frac{-700}{-58} \][/tex]
5. When you carry out the division:
[tex]\[ x = 12.0689655 \][/tex]
6. Round this result to the nearest whole number:
[tex]\[ x \approx 12 \][/tex]
Thus, the number of hours when the miles remaining is 0 is approximately 12 hours.
The correct answer is:
- 12 hours
