Problema Solution
A faucet is used to add water to a large bottle that already contained some water. After it has been filling for 5 seconds, the gauge on the bottle indicates that it contains 17 ounces of water. After it has been filling for 12 seconds, the gauge indicates the bottle contains 38 ounces of water. Let y be the amount of water in the bottle x seconds after the faucet was turned on. Write a linear equation that models the amount of water in the bottle in terms of x
Answer provided by our tutors
y = mx + b,
where m and b are constants that we need to find
we know that for x = 5 s, y = 17 lbs
17 = 5m + b
for x = 12, y = 38
38 = 12m + b
by solving the system of equations
5m + b = 17
12m + b = 38
we find
m = 3
b = 2
click here to see the step by step solution of the system of equations
the linear equation that models the amount of water in the bottle in terms of x is y= 3x + 2.