The Artisan Pizza Co sells take-out pizza in two shapes: an “individual” 6-in. square slice and a circular “party” wheel with an 18 in. diameter. The party wheel is cut into 8 slices/sectors for the customer. An individual square slice costs $2.95 and the entire party wheel costs $15.95.

Which option is the better value, buying 8 square slices or buying the party wheel?

  party wheel

Step-by-step explanation:

Obviously, the Party Wheel, at about $16 is less expensive for 8 servings than 8 square slices at about $24. But that's not the whole story. The Party Wheel servings are smaller.

The area of a Party Wheel slice is ...

  sector area = (πr²)/8 = π(9 in)²/8 ≈ 31.81 in² . . . . somewhat less than 36 in²

So, its cost per square inch is ...

  unit cost of Party Wheel = ($15.95)/(8×31.81) ≈ $0.06268

__

The cost per square inch of an Individual Slice is ...

  $2.95/(6 in)² ≈ $0.08194

The latter is about 30% higher cost for the same area as a Party Wheel.

The Party Wheel is lower cost for the same area, and also for the same number of (smaller) servings. It is the better value if you need all that.

party wheel

step-by-step explanation:

we are given a graph for system of inequalities.

in order to write the system of inequalities for the given graph, we need to find the inequality for each of the line separately.

let us find the slope of dotted line first.

taking two coordinates on the graph.

let us say (0,0) and (3,1).

let us find the slope of the line now.

slope of the dotted line would be =.

y-intercept of dotted line is y=0 only.

plugging slope m= and b=0 in slope-intercept form y=mx+b, we get

.

the line is shaded up of that dotted line.

therefore, for shading up we would take greater than inequality symbol > .

and because it's a dotted line we would take only > symbol in place of = sign in above equation of line.

therefore, inequality for dotted line would be

let us take two points (3,1) and (0,4) on the solid line.

slope of the solid line would be =.

for the solid line we have y-intercept b= 4.

plugging slope m= -1 and b=4 in slope-intercept form y=mx+b, we get

y = -1x + 4.

the line is shaded down of that solid line.

therefore, for shading down we would take less than inequality symbol < .

and because it's a solid line we would take ≤ symbol in place of = sign in above equation of line.

therefore, inequality for solid line would be

.632

step-by-step explanation:

6 * 1/10 = 3/5

3*0.01 = 0.03

3/5 + 0.03 = .63

2*0.002 = .002

.63 + 0.002 = .632