Solve. Assume the exercise describes a linear relationship.
-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 18 ounces of water. After it has been filling for 12 seconds, the gauge indicates the bottle contains 39 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 $x$.
A) $y = 3 x + 3$
B) $y = \frac { 1 } { 3 } x + \frac { 49 } { 3 }$
C) $y = 3 x + 27$
D) $y = - 3 x + 33$

Question

Quizplus · Accepted Answer

The rate of water flow can be found by calculating the slope (change in water amount over change in time), which is $\frac{39 - 18}{12 - 5} = \frac{21}{7} = 3$ ounces per second. To find the y-intercept, we can use one of the points, for example, (5, 18): $18 = 3(5) + b$, solving for $b$ gives $b = 3$. Thus, the equation is $y = 3x + 3$.

Solve Assume the Exercise Describes a Linear Relationship xxx Seconds After the Faucet Was Turned On

Solve Assume the Exercise Describes a Linear Relationship $x$ Seconds After the Faucet Was Turned On