Question

select the correct answer. jack is doing an experiment to find the rate of water flow from a tap. he collects the water in a tub and records the height of the water level every five minutes. he then plots the data on a scatter - plot. which equation represents the line of best fit for jacks scatter plot? a. $y=\frac{14}{45}x$ b. $y = 45x+14$ c. $y=\frac{45}{14}x$ d. $y = 14x + 45$

Explanation:

Step1: Recall the slope - intercept form

The equation of a line is $y = mx + b$, where $m$ is the slope and $b$ is the y - intercept. The y - intercept is the value of $y$ when $x = 0$. From the scatter - plot, when $x = 0$, $y=0$, so $b = 0$.

Step2: Calculate the slope

The slope $m=\frac{\Delta y}{\Delta x}$. We can choose two points on the line, say $(0,0)$ and $(14,45)$. Then $m=\frac{45 - 0}{14-0}=\frac{45}{14}$. The equation of the line of best fit is $y=\frac{45}{14}x$.

Answer:

C. $y=\frac{45}{14}x$