SOLUTION: The component of v = 260i + 300j represent the respective number of gallons of a regular and premium gas sold at a gas station. The components of w = 2.50i +2.65j represent the re

Algebra ->  Logarithm Solvers, Trainers and Word Problems -> SOLUTION: The component of v = 260i + 300j represent the respective number of gallons of a regular and premium gas sold at a gas station. The components of w = 2.50i +2.65j represent the re      Log On


   

Question 983382: The component of v = 260i + 300j represent the respective number of gallons of a regular and
premium gas sold at a gas station. The components of w = 2.50i +2.65j represent the respective
price per gallon for each kind of gas. Find the dot product V * W and describe what the answer
means in practical terms.
Answer by jim_thompson5910(35256) About Me  (Show Source):
You can put this solution on YOUR website!
Dot Product:
If V = and W =
Then V dot W = a*c + b*d

V dot W = 260*2.50 + 300*2.65
V dot W = 650 + 795
V dot W = 1,445

The dot product 1,445 represents the total cost of buying both types of gas (260 gallons of regular and 300 gallons of premium)

The 650 represents the total cost for just the regular gas.
The 795 represents the total cost for just the premium gas.