Use a proportion to solve the problem.
On a map of the Thunderbird Country Club golf course, 1.5 inches represent 45 yards. How long is the 6th hole if the map shows 16 inches?
A. 1,080 yards
B. 480 yards
C.720 yards
D. 4,219 yards
PLEASE HELP
x/16 = 45/1.5
To solve this problem using a proportion, we need to set up a ratio using the given information.
We are told that on the map, 1.5 inches represent 45 yards. This can be written as the ratio:
1.5 inches / 45 yards
We also know that on the map, 16 inches represent the length of the golf hole. This can be written as the ratio:
16 inches / x yards (where x is the length of the 6th hole)
We can set up a proportion by equating these two ratios:
1.5 inches / 45 yards = 16 inches / x yards
To solve for x, we cross-multiply and solve for x:
1.5 inches * x yards = 45 yards * 16 inches
1.5x = 720
Dividing both sides by 1.5, we get:
x = 720 / 1.5
x = 480
Therefore, the length of the 6th hole is 480 yards.
So, the correct answer is option B: 480 yards.