To solve for the following proportion, you could use equivalent ratios, divide out the known ratio, or use cross products. Choose one of these methods to solve for t. Show your work and explain why you chose that method.
You forgot to post the "following proportion." You also didn't include your choices.
the answer is 18/5=4/T
18T=20
T=10/9
To solve for t, we need to use equivalent ratios, divide out the known ratio, or use cross products. Let's discuss each method and choose the most appropriate one.
1. Equivalent Ratios: In this method, we create a ratio using the given information and find an equivalent ratio that includes the unknown variable (t). Then we can solve for t by setting up an equation and solving for it. This method is useful when the given ratio is easy to work with and find a suitable equivalent.
2. Divide out the known ratio: This method involves dividing both sides of the equation by the known ratio. By doing so, we can isolate the unknown variable (t) on one side of the equation and solve for it. This method is convenient when the given ratio has simple numbers and makes dividing an easy task.
3. Cross Products: This method utilizes the concept of proportional relationships, known as the cross products property. By multiplying the numerator of one ratio with the denominator of the other ratio, we obtain two equal products. Setting these products equal to each other, we can solve for t. This method is especially useful when the given ratio is more complex or involves variables.
Now, based on the nature of the problem, it is difficult to determine the specific ratio or equation given, as well as the complexity of the values involved. Therefore, it is up to you to choose the most appropriate method based on the given problem. Consider the numbers and complexity of the ratios involved, then select the method that seems the most straightforward and efficient for you.