You earn $7.25 per hour babysitting. Write and solve an inequality to find how many full hours you must work to earn at least $200
x = number hours
7.25x >= 200.00
solve for x
50
To solve this inequality, let's assume H represents the number of full hours you must work to earn at least $200.
The amount earned in H hours can be calculated using the equation:
Amount earned = Hourly rate * Number of hours
In this case, the hourly rate is $7.25, and we want to earn at least $200, so the inequality can be written as:
7.25H ≥ 200
To solve for H, we need to isolate the variable H. We can do this by dividing both sides of the inequality by 7.25:
H ≥ 200/7.25
Using a calculator, the right side evaluates to approximately 27.59.
Therefore, you must work at least 28 full hours (since you cannot work a fraction of an hour) to earn at least $200.
To find how many full hours you must work to earn at least $200, we can use an inequality.
Let's define "x" as the number of hours you need to work. Since you earn $7.25 per hour, the amount you earn can be represented by the equation:
Amount earned = $7.25 * x
To find the minimum hours needed to earn at least $200, we can set up the following inequality:
$7.25 * x ≥ $200
Now, let's solve the inequality to find the value of x:
Divide both sides of the inequality by $7.25 to isolate "x":
x ≥ $200 ÷ $7.25
Simplify the division:
x ≥ 27.58
Since you cannot have a fraction of an hour, you would have to round up to the nearest whole number. Thus, you would need to work at least 28 hours to earn at least $200.