COP in Graphs

Front

What is the equation of a line that represents a proportional relationship?

Back

y = kx, where k is a constant.

Front

What does it mean for a graph to be proportional?

Back

A graph is proportional if it passes through the origin (0,0) and is a straight line.

Front

What are the two key factors for a graph to be proportional?

Back

Must go through the origin and be a straight line.

Front

What is the definition of COP (Coefficient of Performance)?

Back

COP is a measure of the efficiency of a heating or cooling system, defined as the ratio of useful heating or cooling provided to the work required.

Front

If a graph shows a COP of 3/4, what does this indicate?

Back

It indicates that for every unit of work input, 0.75 units of useful output are produced.

Front

What is the significance of the point (1,1) in proportional graphs?

Back

It indicates that when the input is 1, the output is also 1, confirming the proportional relationship.

Front

How can you determine if a graph is proportional by looking at its shape?

Back

If the graph is a straight line that passes through the origin, it is proportional.

Front

What is the cost of electricity per hour if the rate is $10?

Back

The cost of electricity per hour is $10.

Front

Which graph shows a proportional relationship?

Back

Graph A shows a proportional relationship.

Front

What is the slope of the line represented by the equation y = 8x?

Back

The slope is 8.