Final answer:
To solve for x between the numbers 48 and 36, the correct proportion to select would be d) x/36 = 48/1. This setup allows for cross multiplication, enabling the calculation of the unknown variable x.
Step-by-step explanation:
To select the proportion you would use to solve for x when given the numbers 48 and 36, it is important to set up a ratio that represents the problem correctly and allows for solving the unknown variable x. Proportions are equations that state that two ratios are equivalent. Since the problem doesn't provide a context for the numbers, we assume a direct relationship.
To illustrate how a proportion works, let's look at similar examples:
For a scale factor problem: 1:2=4:x, we could use cross multiplication to find x.
For converting units: 12 inches/1 foot=x inches/3.5 feet, we again cross multiply to solve for x.
In all cases, we look for a proportion where x is set up as a ratio that can be cross multiplied to find its value. Therefore, from the given options, the correct proportion to use in setting up the equation would be d) x/36 = 48/1, as this allows for cross multiplication, where x times 1 equals 48 times 36.