Explanation:
Let's use d to represent the number of days it will take Tom to finish the challenge miles.
Since Tom is currently 10 miles into the challenge and plans to run 4 miles each day until he finishes, the total number of miles he will run is 75 - 10 = 65 miles.
If he runs 4 miles each day, we can use the equation:
total distance = distance per day * number of days
to find the number of days it will take Tom to run 65 miles. Plugging in the known values, we get:
65 = 4d
Simplifying this equation, we can solve for d:
d = 65/4
So, it will take Tom d = 16.25 days to finish the running challenge if he runs 4 miles each day. However, since he cannot run a fraction of a day, we can round up the answer to the nearest whole number of days. Therefore, it will take Tom 17 days to finish the challenge.
The equation that can be used to find the number of days, d, it will take Tom to finish running the challenge miles is:
d = ceil(65/4)
where ceil is the ceiling function, which rounds up the result to the nearest whole number.