A home theater system uses two units of electricity in three hours .How many units will it use in 9 hours ?Give your answer to the nearest whole number
2/3 = x/9
Solve for x.
To find the number of units the home theater system will use in 9 hours, we can set up a proportion.
Let's assume X is the number of units the system will use in 9 hours.
We know that 2 units of electricity are used in 3 hours. Therefore, the rate of electricity consumption is 2 units / 3 hours.
So, we can set up the proportion: (2 units / 3 hours) = (X units / 9 hours).
Now, let's solve for X:
(2 units / 3 hours) = (X units / 9 hours)
Cross-multiplying, we get:
2 * 9 = 3 * X
18 = 3X
Dividing both sides by 3, we get:
X = 6
Therefore, the home theater system will use approximately 6 units of electricity in 9 hours.
To find out how many units the home theater system will use in 9 hours, we can first calculate the rate at which it uses electricity per hour.
Rate of electricity consumption per hour = Total units of electricity / Total hours
In this case, we can calculate the rate as follows:
Rate of electricity consumption per hour = 2 units / 3 hours
Next, we can multiply this rate by the number of hours we want to find the answer for, which is 9 hours:
Electricity consumption in 9 hours = Rate of electricity consumption per hour * 9 hours
Electricity consumption in 9 hours = (2 units / 3 hours) * 9 hours
Simplifying this equation, we have:
Electricity consumption in 9 hours = 2 units * (9 hours / 3 hours)
Electricity consumption in 9 hours = 2 units * 3
Electricity consumption in 9 hours = 6 units
Therefore, the home theater system will use approximately 6 units of electricity in 9 hours.