The conversion of degrees Celsius to degrees Fahrenheit can be represented by a linear relationship. The graph shows the linear relationship between `y`, the temperature in degrees Fahrenheit, and `x`, the temperature in degrees Celsius from the freezing point of water.
Which equation best represents this situation?
1. Find the y-intercept on the graph first and eliminate two choices. The y-intercept is the number where the graph crosses the y-axis.
2. Enter your remaining equations in the calculator and create a table to match points to this graph.
A-y=5/9x
B- y=9/5x
C- y=5/9x+32
D- y=9/5x+32
1. The y-intercept on the graph appears to be around 32, which corresponds to the freezing point of water in degrees Fahrenheit.
2. Using the remaining choices:
For equation A: y = 5/9x
For equation C: y = 5/9x + 32
Creating a table with some points:
x = 0 (freezing point)
A: y = 5/9(0) = 0
C: y = 5/9(0) + 32 = 32
So, we can see that equation C matches the data points on the graph.
Therefore, the equation that best represents this situation is:
C- y = 5/9x + 32
This equation represents the linear relationship between degrees Fahrenheit and degrees Celsius from the freezing point of water.