Problema Solution
Jewelers use the equation p = ck to represent how the percentage of gold in jewelry depends on the number of karats. Using the information below, identify the value of the constant c if p = percent of gold and k = number of karats.
4 karat gold is 18 percent gold
8 karat gold is 36 percent gold
12 karat gold is 54 percent gold
Answer provided by our tutors
p = ck, c is constant
4 karat gold is 18 percent gold
p = 18% or 0.18
k = 4 karats
0.18 = c*4
c = 0.18/4
c = 0.045
8 karat gold is 36 percent gold
p = 36% or 0.36
k = 8 karats
0.36 = c*8
c = 0.36/8
c = 0.045
12 karat gold is 54 percent gold
p = 54% or 0.54
k = 12 karats
0.54 = c*12
c = 0.54/12
c = 0.045