Resourcesdown chevron
Testimonials
Plans
Sign in
Sign up
Resourcesright arrow
Testimonials
Plans
Bytelearn - cat image with glassesAI tutor

Welcome to Bytelearn!

Let’s check out your problem:

Find the constant of proportionality k k if z=3600 z = 3600 when y=3 y = 3 and x=5 x =5 .

View step-by-step helpView step-by-step help
Homeright chevron icon
Math Problemsright chevron icon
Algebra 1right chevron icon
Write inverse variation equationsright chevron icon

Full solution

Q. Find the constant of proportionality k k if z=3600 z = 3600 when y=3 y = 3 and x=5 x =5 .
  1. Understand Relationship Between Variables: Understand the relationship between the variables. In a direct variation with three variables, the relationship can be expressed as z=kxyz = kxy, where kk is the constant of proportionality.
  2. Substitute Given Values: Substitute the given values into the direct variation equation.\newlineWe know that z=3600z = 3600, y=3y = 3, and x=5x = 5. Substitute these values into the equation z=kxyz = kxy to find kk.\newline3600=k×3×53600 = k \times 3 \times 5
  3. Solve for Constant kk: Solve for the constant of proportionality kk. To find kk, divide both sides of the equation by the product of xx and yy. k=3600(3×5)k = \frac{3600}{(3 \times 5)} k=360015k = \frac{3600}{15}
  4. Calculate Value of k: Calculate the value of kk. Perform the division to find the value of kk. k=240k = 240

More problems from Write inverse variation equations

Question
Write an expression to represent:\newline33 more than the product of 22 and x x .
Get tutor helpright-arrow

Posted 10 months ago

Question
Write an expression to represent: 44 times the difference of x x and 22 .
Get tutor helpright-arrow

Posted 10 months ago

Question
Write an expression to represent: 44 less than the product of 11 and x x .
Get tutor helpright-arrow

Posted 10 months ago

Question
What happens to the value of the expression 35+k 35+k as k k decreases?\newlineChoose 11 answer:\newline(A) It increases.\newline(B) It decreases.\newline(C) It stays the same.
Get tutor helpright-arrow

Posted 10 months ago

Question
Let h(x)=x−5 h(x)=x^{-5} .\newlineh′(2)= h^{\prime}(2)=
Get tutor helpright-arrow

Posted 9 months ago

Question
D=[4−12−1] \mathrm{D}=\left[\begin{array}{ll}4 & -1 \\ 2 & -1\end{array}\right] and A=[31021−2] A=\left[\begin{array}{rrr} 3 & 1 & 0 \\ 2 & 1 & -2 \end{array}\right] \newlineLet H=DA \mathrm{H}=\mathrm{DA} . Find H \mathrm{H} .\newlineH= \mathbf{H}=
Get tutor helpright-arrow

Posted 9 months ago

Question
B=[4410−21] and F=[0301] B=\left[\begin{array}{rr} 4 & 4 \\ 1 & 0 \\ -2 & 1 \end{array}\right] \text { and } F=\left[\begin{array}{ll} 0 & 3 \\ 0 & 1 \end{array}\right] \newlineLet H=BF \mathrm{H}=\mathrm{BF} . Find H \mathrm{H} .\newlineH= \mathbf{H}=
Get tutor helpright-arrow

Posted 9 months ago

Question
F=[2305−1−1] F=\left[\begin{array}{rr}2 & 3 \\ 0 & 5 \\ -1 & -1\end{array}\right] and D=[−1042] \mathrm{D}=\left[\begin{array}{rr} -1 & 0 \\ 4 & 2 \end{array}\right] \newlineLet H=FD \mathrm{H}=\mathrm{FD} . Find H \mathrm{H} .\newlineH= \mathbf{H}=
Get tutor helpright-arrow

Posted 9 months ago

Question
E=[1−15550] \mathrm{E}=\left[\begin{array}{rrr}1 & -1 & 5 \\ 5 & 5 & 0\end{array}\right] and F=[−2−1525−2] F=\left[\begin{array}{rr}-2 & -1 \\ 5 & 2 \\ 5 & -2\end{array}\right] \newlineLet H=EF \mathrm{H}=\mathrm{EF} . Find H \mathrm{H} .\newlineH= \mathbf{H}=
Get tutor helpright-arrow

Posted 9 months ago

Question
C=[−1−22] and D=[21] \mathrm{C}=\left[\begin{array}{r} -1 \\ -2 \\ 2 \end{array}\right] \text { and } \mathrm{D}=\left[\begin{array}{ll} 2 & 1 \end{array}\right] \newlineLet H=CD \mathrm{H}=\mathrm{CD} . Find H \mathrm{H} .\newlineH= \mathbf{H}=
Get tutor helpright-arrow

Posted 9 months ago

View all (4)

Related topics

Algebra - Order of OperationsAlgebra - Distributive Property`X` and `Y` AxesGeometry - Scalene TriangleCommon MultipleGeometry - Quadrant