Answer:
B. linear function with a positive rate of change
Step-by-step explanation:
Let x represents number square meter of solar paneling and y represents the total electricity produced by x square meter of solar paneling ( in kilowatts ),
Given,
1 m² of solar paneling produces electricity = 0.2 kilowatt,
⇒ x m² of solar paneling produces electricity= 0.2x kilowatt,
⇒ y = 0.2 x
Which is the required equation that shows the given situation.
Since, y = 0.2 x is in the form of linear function y = mx + c, where m is the rate of change.
⇒ y = 0.2 x is a linear function,
Also, 0.2 > 0,
⇒ y = 0.2 x has positive rate of change.
Hence, the function that models given situation is a linear function with a positive rate of change.
Option B is correct.
