Answer:
The fewest hours she can work to buy the car is 209 hours.
Explanation:
To write an inequality to describe the situation, we can use the formula:
Earnings ≥ Cost
In this case, Leandra's earnings should be greater than or equal to the cost of the car.
The inequality can be expressed as:
12 * h ≥ 2500
Where:
h = the number of hours Leandra works
12 = Leandra's hourly wage
2500 = cost of the car
To find the fewest hours she can work to buy the car, we can rearrange the inequality to solve for h:
h ≥ 2500 / 12
This gives us:
h ≥ 208.33
Since Leandra cannot work a fraction of an hour, she would need to work at least 209 hours to be able to afford the car.
Therefore, the fewest hours she can work to buy the car is 209 hours.