Members of Sutton Creek High School's show choir, Vocal Velocity, are selling tubs of cookie dough to fundraise for their competition season. To meet their goal, the choir members need to raise at least $5,000. They are selling small tubs for $25 each and large tubs for $40 each.

Question

Members of Sutton Creek High School's show choir, Vocal Velocity, are selling tubs of cookie dough to fundraise for their competition season. To meet their goal, the choir members need to raise at least $5,000. They are selling small tubs for $25 each and large tubs for $40 each.

Graph the inequality that represents how many small tubs, x, and large tubs, y, the choir members need to sell.
Plot points on the boundary line. Select the line to switch between solid and dotted. Select a region to shade it.

Answer 1

The inequality representing the number of small tubs, x, and large tubs, y, the choir members need to sell is:

25x + 40y ≥ 5000

We can rewrite this as:

y ≥ -5/8x + 125

Now we will plot points on the boundary line:

Let x = 0:
y ≥ -5/8(0) + 125
y ≥ 125
Point: (0, 125)

Let y = 0:
0 ≥ -5/8x + 125
5/8x ≤ 125
x ≤ 200
Point: (200, 0)

Now let's plot the boundary line and shade the region above it.