Answer:
There are 39 multiples of 5 on the bold part of the number line.
Step-by-step explanation:
It's important to note that the range of the number line includes all numbers greater than (but not including) 100 and less than (but not including) 300. Meaning you can write the range of the function as
.
Based on these parameters, the first and last multiples of 5 is going to be 105 and 295. In order to find the total amount of numbers on the shaded part of the number line that are multiples of 5, you subtract the smallest multiple of 5 (that is in the range) from the largest multiple of 5 (also in the range). Then divide by 5 and add 1 to your quotient and that will be the total number of multiples of 5 that are on the bold part of the number line. It is important to add one there because because if you just divide by 5 after finding the difference between 295 and 105, then you won't be including the first multiple of 5 that is in the range, so you add 1 to the quotient afterward to make sure that it is included in your final answer.
Using the method mentioned above, 295 - 105 = 190,
, and 38 + 1 = 39, so there are 39 multiples of 5 that are on the bold part of the number line.
Have a great day! Feel free to let me know if you have any more questions :)