If m varies directly with x 2 , and m = 10 when x = −4, find the value of m when x = 3
Mathematics · Middle School · Thu Feb 04 2021
Answered on
Given the statement:
m varies directly with x , and m = 10 when x = −4
Find the value of m when x = 3
Solution:
In order to find the value of m, we must first find the constant of variation, to do so, we must first multiply m with x.
k = mx
k = (10)(-4)
k = -40
Equate the values in the formula k = mx, whereas k = -40 and x = 3, then solve for m.
-40 = 3m
Divide both sides by 3 in order to determine the value of m.
-40/3 = 3m/3
m = -13.333…
Since we have a repeating decimal, we can either equate it with a repeating word enclosed with a parenthesis, a dash line or an ellipsis. In our case we will use the ellipsis.
Final answer:
m = -13.333…