SOLUTION: I am having trouble understanding how to translate these problems any help is greatly appreciated. 1.) A.)x = yz (both y and z are measured in feet) B.) x = 3y^3 (y is me

Question 92153: I am having trouble understanding how to translate these problems any help is greatly appreciated.
1.) A.)x = yz (both y and z are measured in feet)
B.) x = 3y^3 (y is measured in inches)
C.) x = t^3 (t is measured in seconds)
D.) x = 4F^2d ( both F and d are measured in meters)
2.) x = vt ( x is measured in meters and t is measured in seconds)
3.) S = pt ( S is measured in dollars and p is measured in dollars per year)
4.) In an exponential expression such as A = be -(t/RC), we cannot attach units to the exponent -(t/RC) because a base, such as e, can only be raised to a pure number. Consequently, if the variable t in this equation is measured in seconds, what does this imply about the units on the product RC?
Answer by stanbon(75887) (Show Source): You can put this solution on YOUR website!
1.) A.)x = yz (both y and z are measured in feet)
x will be in square feet.
--------------
B.) x = 3y^3 (y is measured in inches)
x will be in cubic inches
-----------------------
C.) x = t^3 (t is measured in seconds)
x will be in seconds
------------------
D.) x = 4F^2d ( both F and d are measured in meters)
x will be in cubic meters
--------------------
2.) x = vt ( x is measured in meters and t is measured in seconds)
x will be in meter-seconds
------------------------
3.) S = pt ( S is measured in dollars and p is measured in dollars per year)
t is years

4.) In an exponential expression such as A = be -(t/RC), we cannot attach units to the exponent -(t/RC) because a base, such as e, can only be raised to a pure number. Consequently, if the variable t in this equation is measured in seconds, what does this imply about the units on the product RC?
RC is a number divisor of the t seconds.
============
Cheers,
Stan H.

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