A coach plans to order new volleyballs and soccer balls.
The cost of each volleyball is $20.
The cost of each soccer ball is $25.
The coach plans to order at least 50 volleyballs and soccer balls in all.
The coach can spend a maximum of $1,100.
Which graph represents x, the number of volleyballs, and y, the number of soccer balls that the coach can order?
Since the cost of each volleyball is $20 and the cost of each soccer ball is $25, we can set up the following equations:
Cost of volleyballs: 20x
Cost of soccer balls: 25y
Total cost: 1100
We know that the coach plans to order at least 50 volleyballs and soccer balls in total, so we have the inequality:
x + y ≥ 50
To represent this graphically, we can convert the inequality to an equation by subtracting 50 from both sides:
x + y = 50
Now we can plot this line on a graph. Since the equation is in standard form, we can find its x and y intercepts to plot the line.
To find the x-intercept, we set y = 0 and solve for x:
x + 0 = 50
x = 50
So the x-intercept is (50, 0).
To find the y-intercept, we set x = 0 and solve for y:
0 + y = 50
y = 50
So the y-intercept is (0, 50).
Plotting these points and drawing a line passing through them, we can represent the constraint x + y = 50.
The graph should look like this:
[GRAPH OMITTED]