Final answer:
To relate 7 free throws to 15 seconds, the ratio is 7/15. Equivalent ratios can be created by multiplying or dividing both terms of the ratio. For instance, to find how many free throws can be made in 60 seconds, set up the proportion 7/15 = x/60; solving it yields 28 free throws.
Step-by-step explanation:
To start, we need to find a ratio that relates 7 free throws to 15 seconds. This ratio can be written as 7/15. Equivalent ratios have a constant ratio between their terms. To find an equivalent ratio, we can multiply or divide both terms by the same non-zero number.
For example, multiplying both terms by 2 gives us (7 * 2) / (15 * 2) = 14/30, which is an equivalent ratio to 7/15. Similarly, dividing both terms by 7 gives us (7 / 7) / (15 / 7) = 1/ (15/7), simplifying to 1/2.143, which is also an equivalent ratio to 7/15.
Example of setting equivalent ratios
Let's say we want to find how many free throws can be made in 60 seconds using an equivalent ratio. We set up the proportion 7/15 = x/60, where x represents the number of free throws. We can solve for x by cross-multiplying giving us 7 * 60 = 15x, and then dividing both sides by 15 to get x = 28. This means 28 free throws can be expected to be made in 60 seconds.