Solve.
-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 14 ounces of water. After it has been filling for 12 seconds, the gauge indicates the bottle contains 28 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 relates amount $y$ to time $x$.
A) $y = 2 x + 16$
B) $y = \frac { 1 } { 2 } x + \frac { 23 } { 2 }$
C) $y = - 2 x + 24$
D) $y = 2 x + 4$

Question

Quizplus · Accepted Answer

The rate of water flow is $(28 - 14) / (12 - 5) = 14 / 7 = 2$ ounces per second. Using the point (5, 14), the equation is $y = 2x + b$. Substituting $x = 5$ and $y = 14$ gives $14 = 2(5) + b$, solving for $b$ gives $b = 4$. Thus, the equation is $y = 2x + 4$.

Solve -A Faucet Is Used to Add Water to a Large

Solve
-A Faucet Is Used to Add Water to a Large