the graph represents revenue in dollars as a function of greeting cards sold. which equation represents the…

the graph represents revenue in dollars as a function of greeting cards sold. which equation represents the function shown on the graph? $y = \\frac{1}{4}x$ $y = \\frac{1}{2}x$ $y = 2x$ $y = 4x$

the graph represents revenue in dollars as a function of greeting cards sold. which equation represents the function shown on the graph? $y = \\frac{1}{4}x$ $y = \\frac{1}{2}x$ $y = 2x$ $y = 4x$

Answer

Explanation:

Step1: Recall the slope - intercept form of a linear function

The slope - intercept form of a linear function is (y = mx + b), where (m) is the slope and (b) is the (y) - intercept. Since the line passes through the origin ((0,0)), (b = 0), and the equation is (y=mx).

Step2: Calculate the slope (m)

The slope (m=\frac{y_2 - y_1}{x_2 - x_1}). Let's take two points on the line. For example, when (x = 4), (y = 16) (another point is ((0,0))). Then (m=\frac{16 - 0}{4 - 0}=\frac{16}{4}=4)

Answer:

(y = 4x)