![y = 50x + 100](https://tex.z-dn.net/?f=y%20%3D%2050x%20%2B%20100)
This is the equation for this problem.
Let x represent number of hours after noon.
We have been given that Sara starts at noon and walks at a speed of 4 miles per hour. So distance covered by Sara in x hours would be
.
We are also told that Eddie leaves the same place an hour later. This means that Sara will be 4 miles ahead of Eddie as Sara will travel 4 miles in 1 hour.
As Eddie walks in the same direction at a speed of 5 miles per hour. So distance covered by Eddie in x hours would be
.
Total distance covered by Sara when Eddie will start would be
.
Now we will equate distance covered by both in x hours as:
![5x=4x+4](https://tex.z-dn.net/?f=5x%3D4x%2B4)
Let us solve for x.
![5x-4x=4x-4x+4](https://tex.z-dn.net/?f=5x-4x%3D4x-4x%2B4)
![x=4](https://tex.z-dn.net/?f=x%3D4)
Since x represents number of hours after noon, so 4 represents 4 hours after noon.
Therefore, Eddie will catch up with Sara at 4:00 pm and option D is the correct choice.
Answer:
d. $8,623.40
Step-by-step explanation:
EDGE 2021
The two angles form a a straight line which is equal to 180 degrees:
Make an equation:
57 + (x +23) = 180
Simplify:
x + 80 = 180
Subtract 80 from both sides:
x = 100