Chapter 1
-Bulding Mathematical Models Using Variation
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Write an equation that relates the quantities.
-W varies jointly with n and s and inversely with the cube of t. The constant of proportionality is 8.14.
W=
Write a general formula to describe the variation. -z varise directly with the sum of squares of x and y; z=2 when x=6 and y=2
z=
Write a general formula to describe the variation. - The square of T varies directly with the cube of a and inversely with the square of d; T=6 when a=3 and d=5
T^{2}=
Write a general formula to describe the variation. - y varies directly with x; y=6 when x=48
y=
Decide whether the following statement is true or false. -If y varies directly with x, then y=, where k is a constant.
False
Write a general formula to describe the variation. -A varies directly with x^{2}; A=50 when x=5