A day full of math games & activities. Find one near you.
A day full of math games & activities. Find one near you.
A day full of math games & activities. Find one near you.
A day full of math games & activities. Find one near you.
Suppose that y varies directly with x and inversely with z, y = 18 when x = 15 and z = 5. How do you write the equation that models the relationship, then find y when x = 21 and z = 7?
Solution:
Given, y ∝ x/z
To convert to an equation multiply by a constant k.
y = kx/z
Next, find the value of k using the given condition.
i.e. y = 18, x = 15, z = 5.
18 = k(15/5)
18 = k(3)
k= 6
The equation becomes y = 6x/z
When x = 21, z = 7,
y = (6)(21)/(7)
y = (6)(3)
y = 18
Therefore, the equation is y = 6x/z and its value at x = 21 and z = 7 is 18.
Suppose that y varies directly with x and inversely with z, y = 18 when x = 15 and z = 5. How do you write the equation that models the relationship, then find y when x = 21 and z = 7?
Summary:
Suppose that y varies directly with x and inversely with z, y = 18 when x = 15 and z = 5. The equation that models the relationship is y = 6x/z. The value y when x = 21 and z = 7 is 18.
Math worksheets and
visual curriculum
visual curriculum