ANSWER
The particular solution is:

EXPLANATION
The given Ordinary Differential Equation is

The general solution to this Differential equation is:

To find the particular solution, we need to apply the initial conditions (ICs)

This implies that;




Hence the particular solution is

Answer:
They will each have painted 8 km. This goal will be met on Day 4.
Step-by-step explanation:
Group A | Group B
Start: 2 | Start: 5 Day 1
2 + 2 = 4 | 5 + 1 = 6 Day 2
4 + 2 = 6 | 6 + 1 = 7 Day 3
6 + 2 = 8 | 7 + 1 = 8 Day 4
One bag of popcorn would cost $6.50
To solve this, we can set up equations:
28p+40c=$282
17p+20c=$160.50
To solve this system, we would need to make either the candy bars the same or the bags of popcorn the same. Since we are solving for bags of popcorn, we will make the candy bars the same:
20(28p+40c=$282)
40(17p+20c=$160.50)
Which would give you:
560p+800c=$5,640
680p+800c=$6,420
Subtract them:
(680p+800c=$6,420)
-(560p+800c=$5,640)
_________________
120p=$780
Now divide by 120 to get the price of one bag of popcorn:
120p=$780
_________
120
p=$6.50