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The proposal for the price for a number of shirts given by the four companies can be analyzed graphically, given that each price list gives a straight line, and the result presented using a piecewise function approach as follows:
A piecewise defined function is one that has other sub functions which are applied over different intervals of the domain.
The given table of values and equation are plotted on a graph using MS Excel
From the graph, and the table created, we have:
When the number of shirts on order is less than 40, the least expensive is Easy Calculation shirts
When the number of shirts are more than 40 but less than 80, the least expensive proposal is given by Shirtee
When the number of shirts to be ordered is more than 80, the company that gives the least expensive proposal is T-Shirts R Us
The selection table is presented as follows:
Learn more about piecewise defined functions here:
#SPJ1
By calculus or elementary geometry, we know that the formula for the volume of a cone, given pi (the constant), its height h and its radius r is:
Lets solve this relation for the radius:
Now we have found a general formula that gives us the radius of a cone, given its volume and height. We need only substitute height (20in) and pi=3.14 to get the numerical equation: r=0.2185*
Lets solve this relation for the radius:
Now we have found a general formula that gives us the radius of a cone, given its volume and height. We need only substitute height (20in) and pi=3.14 to get the numerical equation: r=0.2185*
Break the equation into parts;
Solving for x;
x=
Solving for y;