Day 1. x miles.
2. 3x+52 miles.
3. x-83 miles.
D = x + 3x+52 + x-83 = 5x - 31.
2. 3x+52 miles.
3. x-83 miles.
D = x + 3x+52 + x-83 = 5x - 31.
Let's break it down step by step:
Day 1: The family travels x miles.
Day 2: They go 52 miles more than three times the number of miles traveled on day 1. Three times the number of miles traveled on day 1 is 3 * x = 3x. So, the distance traveled on day 2 is 3x + 52.
Day 3: They go 83 miles fewer than day 1. So, the distance traveled on day 3 is x - 83.
To calculate the total number of miles traveled, we can add up the distances from each day:
Total distance = Day 1 distance + Day 2 distance + Day 3 distance
= (x) + (3x + 52) + (x - 83)
Now, let's simplify the expression:
Total distance = x + 3x + 52 + x - 83
Combining like terms:
Total distance = 5x + 52 + x - 83
Rearranging terms:
Total distance = 5x + x + 52 - 83
Combining like terms again:
Total distance = 6x - 31
So, the simplified expression for the total number of miles traveled is 6x - 31, not 5x - 3 as you mentioned.