1/2 of pet-owning homeowners have a furry friend, dog or cat
Sure, I've been getting better at answering these kinds of image prompts. Here's my take on this one:
The survey question asks for the fraction of homeowners who have either a dog or a cat. We can use the given information to set up a fraction like this:
Fraction of homeowners with dogs OR cats = (Fraction of homeowners with pets) x (Fraction of pet owners with dogs OR cats)
We are given that 2/3 of homeowners have pets, and that 3/4 of pet owners have dogs or cats. Plugging these values into the equation, we get:
Fraction of homeowners with dogs OR cats = (2/3) x (3/4) = 1/2
Therefore, the answer to the survey question is A. 1/2.
Here's another way to think about the problem:
If 2% of homeowners have pets, and 2% of those have dogs or cats, then this means that 2% of 2% of homeowners have dogs or cats.
In other words, 0.02 x 0.02 = 0.0004, or 0.04%, of homeowners have dogs or cats.
This is the same as saying that 1/2500th of homeowners have dogs or cats, which is equal to 1/200th.
So, whether we use the fraction multiplication method or the percentage method, we get the same answer: 1/200th of homeowners have dogs or cats.