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1.4 Concept Prep Assignment

1. A soccer ball manufacturer knows that soccer balls are supposed to have a radius of 4.5 inches and be perfectly spherical in shape.  He recently received an order for 100 balls.  How much leather does he need to complete the order? 

            He knows that the formula for radius of a sphere is , where S is the          surface area.

2. The function  describes the relationship between S, the speed of a car in miles per hour, and d,  the distance in feet a car skids after applying the brakes on a dry tar road (Kime and Clark, p. 219).    If you were traveling 50 miles per hour, how long would your skid mark be?

3. I’m thinking of a number, x, whose square root is 3.  What is the number?

          Written symbolically, the equation looks like this:    . 

          How did you find the answer? What operation will “undo” the square root operation? 

         Solve each of the following.

a.             

b.             

c.             

d.             

e.             

f.             

g.             

h.             

i.               

j.              

4.    Are the following pairs of equations (#1-3) equivalent   (have the same solution)? 

       Why or why not?

            a.    ;                b.   ;                   c.   ;    

            d.  Make a table of values then plot by hand the graph of  on graph paper.

            e.  Use your graphing calculator to graph both sides of equation  #3a above.  Let  

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