This equation shows the linear relationship between the number of minutes since Micah started heating a pot of water and the temperature of the water. x represents the number of minutes, and y represents the temperature in degrees Celsius.

Question

You just solved for b = 20. Now, substitute 20 for b in our equation.
x
y
(4,60)
(2,40)
0
2
4
6
8
10
12
0
20
40
60
80
100
120
140
Number of minutes
Temperature (°C)
y = 10x+b
y = 10x +

Answer 1

You've established that the equation for the temperature of the water in degrees Celsius as a function of time in minutes is of the form:

\[ y = 10x + b \]

You've also found that \( b = 20 \). Therefore, you can substitute \( 20 \) for \( b \) in the equation:

\[ y = 10x + 20 \]

This means that the linear equation representing the relationship between the number of minutes (\( x \)) and the temperature of the water (\( y \)) is:

\[ y = 10x + 20 \]

This equation indicates that for every minute the pot of water is heated, the temperature increases by 10 degrees Celsius, starting from an initial temperature of 20 degrees Celsius when \( x = 0 \).