Final answer:
To find the situation that matches the inequality 10x > 8x + 10, we compare the earnings of Valeria and Daniel. Option 1, where Valeria charges $8 an hour and Daniel charges $10 per hour plus a traveling fee of $8, matches the inequality when Valeria babysits for more than 5 hours.
Step-by-step explanation:
The inequality given is 10x > 8x + 10. To find which situation matches this inequality, we need to compare the earnings of Valeria and Daniel. Option 1 states that Valeria charges $8 an hour for babysitting and Daniel charges $10 per hour plus a traveling fee of $8. Let's calculate the earnings of both:
Valeria: Earnings = 8x (assuming x hours)
Daniel: Earnings = 10x + 8
Now we need to find the number of hours (x) for which Valeria's earnings are greater than Daniel's earnings. Let's solve the inequality:
10x > 8x + 10
Subtracting 8x from both sides: 2x > 10
Dividing both sides by 2: x > 5
So, Valeria needs to babysit for more than 5 hours to make more money than Daniel. Option 1 matches the inequality.