Question

the scatter plot below shows the relationship between drop height, x, and the speed, y, of a roller coaster. roller coasters the linear equation that best models this data is y = 0.216x + 32.575. use the model to complete the statements. the slope of the line is the slope represents

Explanation:

Step1: Identify slope - intercept form

The linear equation is in the form $y = mx + b$, where $m$ is the slope.

Step2: Determine the slope value

Given $y = 0.216x+32.575$, the slope $m = 0.216$.

Step3: Interpret the slope

The slope represents the rate of change of speed with respect to drop height. For every 1 - foot increase in drop height ($x$), the speed ($y$) of the roller - coaster increases by 0.216 mph.

Answer:

The slope of the line is 0.216. The slope represents the increase in speed (in mph) for every 1 - foot increase in drop height.