Problema Solution
The cost C, in dollars, to fill a sandbox varies directly as the depth S, in inches, of the sand. The director of Creekside Daycare checks at her local hardware store and finds that it would cost $82.00 to fill the daycare's box with 8 in. of sand. She decides to fill the sandbox to a depth of 10 in. Find and equation of variation.
Answer provided by our tutors
C varies directly to S, the equation to try would be
C=kS
We know that when S = 8 in, C = $82 so,
82=k*8
by solving for k we find:
x = 10.25
click here to see the step by step solution of the equation:
The equation of variation is now C=10.25S
To find C when S= 10 in, simply plug in 10 for S and solve:
C = 10.25*10
C = $102.5