Answer:
a) y = 16/x²
b) x = 4/5
Step-by-step explanation:
You want the equation for y in terms of x when y is inversely proportional to the square of x, and y is 16 when x is 1. Further, you want the value of x when y is 25.
<h3>(a) Relation</h3>
The wording "inversely proportional to the square" means the form of the equation is ...
y = k/x² . . . . . . where k is the constant of proportionality
The value of k can be found from the given (x, y) pair.
k = x²y = (1)²(16) = 16
The equation is ...
y = 16/x²
<h3>(b) Value of x</h3>
Solving for x gives ...
x = √(16/y)
Then the value of x for y = 25 is ...
x = √(16/25)
x = 4/5
'Miami to Orlando' = 1 1/2 hours = 1.5 hours
'Miami to Tallahassee' = 5 times of 'Miami to Orlando', then
5 * 1.5 = 7.5
So the train would take 7.5 hours or 7 1/2 hours from Mami to Tallahassee.
We will use the equation:
r t = 3/4 r ( t+12 ) /:r
t = 3/4 t + 9
t - 3/4 t = 9
1/4 t = 9
t = 9 * 4 = 36 minutes ( takes a trip to the market )
36 + 12 = 48 minutes
The ride home takes 48 minutes.
Hello here is a solution :
Answer:
the answer of the problem p=32
