Answer:
p = 121
Step-by-step explanation:
inveresly proportional
pq² = k
find k the constant of proportionality
p is 16 when q is 11,
16 * 11² = k
k = 1,936
----------------------------
pq² = 1,936
determine p when q is equal to 4.
p * 4² = 1,936
16p = 1,936
p = 1,936/16
p = 121
Remark
All you need do is assume the small triangle is similar to the large one. MO:ML :: MP:MN must be solved.
Givens
MO = 28
ML = 28 + 14
MP = y
MN = y + 18
Equation
28:28+14 :: y: y + 18
Solve
28/42 = y / (y + 18)
28*(y + 18) = 42y Remove the brackets
28y + 18*28 = 42y
28y + 504 = 42y Subtract 28y from both sides.
504 = 42y - 28y
504 = 14y Divide by 14
504/14 = y
y = 36
The gas cost 35 dollars and the water cost 15 dollars
