Part 1) <span>Each sandwich costs $.02 per cubic inch to make. What is the cost of each sandwich?
</span>volume for cube sandwich is 125 in³
volume for pyramid sandwich is 41.67 in³
cost of each cube sandwich=0.02*125-----> $2.5
cost of each pyramid sandwich=0.02*41.67-----> $0.83
the answers Part 1) are
a) cost of each cube sandwich is $2.5
b) cost of each pyramid sandwich is $0.83
Part 2) <span>If each sandwich sells for $4.00 and Mr. Sammie sells 100 Cube sandwiches and 100 Pyramid Sandwiches, how much profit would Mr. Sammie make?
</span>
we know that
Profit=Sells-Costs
step 1
find the sells
Sells=200*$4-----> $800
step 2
find the costs
Costs=100*$2.5+100*$0.83----> $333
step 3
find the profit
Profit=Sells-Costs
Profit=$800-$333-----> $467
the answer Part 2) is
the profit is $467
In calculus, we use derivatives to find the instantaneous rate of change at any point on a graph. To find the average rate of change, we just find the slope of the secant line that intercepts two points on the graph.
We find slope with the following equation:

In this case, we are looking for the slope from x = -1 to x = 1. We have both x values, so next we need the y values.
F(-1) = (-1)^2 - (-1) - 1 = 1
F(1) = (1)^2 - (1) - 1 = -1
Now plug in the x and y values to find the slope:
The answer is -1.
You would now have to pay her $9.85