The equation for converting Farenheit to Celcius is F=9/5C + 32. What is the meaning of the slope of this line?
A. For every 9 degree increase in Celcius, there's a 5 degree increase in Farenheit.
B. For every 5 degree increase in C, there's a 9 degree increase in F.
C. For every 5 degree increase in C, there's a 9 degree decrease in F.
D. For every 9 degree decrease in C, there's a 5 degree increase in F.
PLEASE EXPLAIN!!!
If C is increased 5x, what happens to F?
F also increases?
To determine the meaning of the slope in the equation F = (9/5)C + 32, we need to look at the coefficient of C, which is 9/5.
The slope of a line represents the rate of change between two variables. In this case, the slope of the line represents the rate at which the Fahrenheit (F) temperature changes with respect to a change in Celsius (C) temperature.
To determine the meaning of this slope, we can break it down into its numerator and denominator. The numerator is 9, and the denominator is 5.
A. For every 9 degree increase in Celsius, there's a 5-degree increase in Fahrenheit.
B. For every 5-degree increase in Celsius, there's a 9-degree increase in Fahrenheit.
C. For every 5-degree increase in Celsius, there's a 9-degree decrease in Fahrenheit.
D. For every 9-degree decrease in Celsius, there's a 5-degree increase in Fahrenheit.
Since the slope value is positive (9/5)C, options C and D, which involve a decrease in Celsius, can be ruled out.
So the correct answer is A. For every 9-degree increase in Celsius, there's a 5-degree increase in Fahrenheit.