Question

Part A: How many positive integers are there between 42 and 97 inclusive? I do not understand how the formula works! Part B: There is a line whose length is 200 feet. If points are placed every 2 feet starting from one end, how many points are on the line?

Answer 1

Part A = 56 Integers

Part B = 99 Points

Explanation:

Part A ~ Since it's inclusive, at the end we must put n + 1 -->

97 - 42 = 55 => 55 = n => 56 Integers

Part B ~ n - 1 Since it is exclusive. so, =>

200/2 = 100, 100 = n (n-1) => 99 Points

Hope this helps!

Answer 2

Explanation:

To find the answer to Part A we can do (97 - 42) + 1 = 56. The reason we do + 1 is because 97 - 42 is just counting the numbers in between 42 and 97 but it leaves out 42 and since it's inclusive we need to include 42.

Part B: We can do (200 / 2) - 1 = 99. The reason we do - 1 is because 200 / 2 includes the endpoint of the line but since we don't want to include the endpoint of the line we do - 1.