The value of y directly varies with x, and y=5.4 when x =9. Find y when x= negative 10
Mathematics · High School · Thu Feb 04 2021
Answered on
Given the statement:
The value of y directly varies with x, and y=5.4 when x =9.
Find y when x = -10
Solution:
In order to find y, we must first determine the constant of variation, which can be solved by multiplying x and y.
k = xy
k = (5.4)(9)
k = 48.6
To find for y, we substitute the values of x and k to the constant of variation formula.
48.6 = (-10)(y)
Solve for y.
Divide -10 on both sides of the equation, this cancels out -10y, leaving behind y.
48.6 = -10y
48.6/-10 = -10y/-10
y = -4.86
Final answer:
y = -4.86