Question

Drag the tiles to the correct boxes to complete the pairs. Not all tiles will be used. Erika conducted a science experiment that involved heating water in a metal container and recording the temperature of the water at different times. Erika created the table below with the temperatures she recorded. Heating Time (minutes) Water Temperature (°C) 0.5 56 1 62 1.5 68 3 84 3.5 89 4.5 99 Erika also created a line of best fit for the data where x is the number of minutes the water has been heated and y is the water's temperature in degrees Celsius. What do the slope and y-intercept of the equation represent? the increase in minutes of heating time per °C the increase in °C per minute of heating time the total time, in minutes, spent heating the water the initial temperature, in °C, of the water the final temperature, in °C, of the water

Answer 1

Answer: The increase in °C per minute of heating time

Step-by-step explanation:

The slope of a line represents the rate of change of the dependent variable (y) with respect to the independent variable .

In the given situation , time (minutes) is the independent variable (x) and the water temperature (°C) on it , so it represents the dependent variable.

Now, the rate of change of y with respect to x is given by :_

$m=\frac{\text{change in y}}{\text{change in x}}=\frac{62-56}{1-0.5}=\frac{6}{0.5}=12^{\circ}\text{perminute}$

Hence, the slope of the line represent "the increase in °C per minute of heating time".