Final answer:
To find out how many exhibits the aquarium has, we can set up a proportion and solve for x. The aquarium has approximately 6 exhibits.
Step-by-step explanation:
To find out how many exhibits the aquarium has, we need to set up a proportion based on the information given. Let x be the total number of exhibits in Aquaworld Aquarium. We know that Derek visited 90% of the exhibits, which is equivalent to 0.9x, and he visited 36 exhibits. So, we can set up the proportion:
0.9x/1 = 36/x
To solve for x, we can cross multiply:
0.9x * x = 36 * 1
0.9x^2 = 36
Divide both sides by 0.9:
x^2 = 36/0.9
x^2 = 40
Taking the square root of both sides, we get:
x = √40
So, the aquarium has approximately 6.32 exhibits. Since we cannot have a fraction of an exhibit, we can conclude that the aquarium has 6 exhibits.