Question

Function B has a greater rate of change and a smaller y-intercept than function A. Which equation could represent function B?

Answer 1

function A : y = 50 + 0.5x ; y = 40 + 0.6x

Explanation:

Function is a relationship between values in set x & set y.

In case functional relationship equation is y = c + sx . c is the y intercept ie constant value of y when x = 0, & s is slope rate of change ie = change in y / change in x.

If function A is y = 50 + 0.5x. Intercept (c) = 50 , change rate (slope) = 0.5

If function B is y = 40 + 0.6x. Intercept (c) = 40 ie lesser, change rate (slope) = 0.6 ie greater