Firstly, let's create a function of f(t) where t represents the time that has past, and f(t) represents the amount of rainwater. We know that when t=1, then f(t)=10, and t=2 then f(t)=15. So, let's take that and analyze it:
(1,10)
(2,15)
m = (15-10)/(2-1) = 5
y-intercept = 5
∴ f(t) = 5t+5
Now we just evaluate t for 10:
f(10) = (5*10)+5
f(10) = 55
Answer:
Step-by-step explanation:
Divide two numbers, a dividend and a divisor, and find the answer as a quotient with a remainder. Learn how to solve long division with remainders, or practice your own long division problems and use this calculator to check your answers.Long division with remainders is one of two methods of doing long division by hand. It is somewhat easier than solving a division problem by finding a quotient answer with a decimal.
Distance to the farm is 24 miles
Step-by-step explanation:
- Step 1: Let the speed of Peggy be x mph. Then the speed of Mike is x + 36 mph. Find the equation of distance for Mike and Peggy to the farm.
Time taken by Mike = 0.5 hr
Time taken by Peggy = 2 hrs
Distance is calculated by the equation Distance = Speed × Time
Distance traveled by Mike = (x + 36) × 0.5
Distance traveled by Peggy = x × 2
- Step 2: Equate the 2 distances of Mike and Peggy as they are the same and find x.
(x + 36) × 0.5 = 2x
0.5x + 18 = 2x
1.5 x = 18
⇒ x = 18/1.5 = 12 mph
- Step 3: Find the distance to the farm.
Distance to the farm = 2x = 24 miles
