a. The graph is attached as image
b. Based on the graph, the best estimate for the cost to mail the package:
For 1 pound is $5
For 2 pounds is $7
How to graph the equation
The equation y=2x+3 represents the cost (y in dollars) of mailing a package that weighs x pounds.
a. Let's graph the equation
y=2x+3:
This equation is in slope-intercept form (y=mx+b), where m is the slope and b is the y-intercept.
The y-intercept is 3, which means when x=0, the cost is $3. The slope of 2 indicates that for each additional pound (x), the cost (y) increases by $2.
Let's plot this line on a graph:
Graph of y = 2x + 3
Find the graph on the attached image
b. Using the graph, the best estimate for the cost to mail the package can be determined by observing the y-coordinate (vertical axis) corresponding to a given x-value (horizontal axis).
For instance, if the package weighs 1 pound (x=1), the estimated cost can be read from the graph at that point.
By examining the graph, the estimated cost to mail the package:
For 1 pound (x=1), the estimated cost (y) is approximately $5.
For 2 pounds (x=2), the estimated cost (y) is approximately $7.
Therefore, based on the graph, the best estimate for the cost to mail the package:
For 1 pound is $5
For 2 pounds is $7
The graph visually represents the relationship between the weight of the package and its mailing cost based on the given equation.