Final answer:
The value of K is found by taking the ratio of the new circumference (110.9 inches) to the old circumference (100.5 inches), which calculates to approximately 1.1. Thus, the value of K is C. 1.1.
Step-by-step explanation:
The original factory-installed tires of the car have a circumference of 100.5 inches. When they are changed to tires with a circumference of 110.9 inches, we need to find the value of K, which is the ratio of the new circumference to the old circumference.
To calculate K, we can use the following formula:
K = New Circumference / Old Circumference
K = 110.9 inches / 100.5 inches
K = 1.1034825870646766169154228855721
However, the typical presentation of this ratio would not be as a decimal but rounded to the nearest tenth or as a simplified fraction if applicable. Consequently, the value closest to the full decimal form and listed in the question options is 1.1.
Therefore, the value of K is C. 1.1.