Question

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?

Answer 1

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]