Final answer:
The number of consecutive multiples of a given number within an inclusive range is calculated using formula A) (b - a)/k + 1. This takes into account the start and end of the range and the specific multiple in question.
Step-by-step explanation:
To find the number of consecutive multiples of a given number within an inclusive range, we use the formula: (b - a)/k + 1, where a is the starting point of the range, b is the ending point of the range, and k is the specific multiple we are counting within the range. This formula counts how many times the number k fits into the range from a to b inclusively.
For example: Suppose we want to count how many multiples of 3 there are between 5 and 20. We subtract 5 from 20 to get 15, divide 15 by 3 to get 5, and then add 1 to get a total of 6 multiples of 3 within the range [5, 20]. The correct choice from the options given is A) (b - a)/k + 1.