Question

pocahontas is buying bikes. this equation shows how the total cost (y) depends on the number of bikes purchased (x).
y = x
complete the graph to show how much pocahontas would spend.
(graph with y - axis labeled dollars from 2 to 12 and x - axis labeled bikes from 2 to 12)
sk code: 148500

Explanation:

Step1: Identify the equation

The equation is \( y = x \), which is a linear equation with a slope of 1 and y-intercept at 0.

Step2: Find key points

For \( x = 0 \), \( y = 0 \) (the origin). For \( x = 1 \), \( y = 1 \); \( x = 2 \), \( y = 2 \); and so on. These points lie on the line where the x and y coordinates are equal.

Step3: Plot the line

On the given graph, plot points like (0,0), (1,1), (2,2), (3,3), etc., and draw a straight line through them. This line will pass through all points where the number of bikes (x) equals the total cost in dollars (y).

Answer:

To complete the graph, draw a straight line passing through the origin \((0,0)\) and other points where \(x = y\) (e.g., \((1,1)\), \((2,2)\), \((3,3)\), etc.). This line represents the equation \(y = x\) for the total cost \(y\) (in dollars) based on the number of bikes \(x\) purchased.