The proportionality constant is k = 490, and the equation is y = 490x, where x represents the number of hours and y represents the total number of miles.
The required time is 12 hours.
The proportion formula is used to determine whether or not two ratios or fractions are equal. The percentage formula is a: b::c: d = a/b = c/d, where a and d are extreme terms and b and c are mean terms.
The proportional equation is denoted by y x
Furthermore, y = kx, where k is the proportionality constant.
It displays the relationship between the expressions printed on the left and right sides being equal.
Given the data,
Let the equation be written as A.
The value of A is now
Let the aircraft's distance be = x.
Let the entire time spent by the airplane equal y.
Let k be the proportionality constant.
for x = 1 ,
y = 490
As a result, the equation will be y = kx.
We get by substituting the numbers in the equation
y = 490x
when x = 2
y = 490 (2)
y = 980
The time required by airplane to fly 5,880 miles is now
When we substitute 5880 for y in the equation, we get
5880 = 490x
Divide both sides of the equation by 490 to get
x = 5880 / 490
x = 12
As a result, the time required is 12 hours.
As a result, the proportionality constant is 490.