The function A = 15x - x2, where x is the width in yards, gives the area A of a llama pen in square yards. Make a table using 1/
2 units from 0 to 10. Graph the function. Use your graph to answer the following question: Which width gives the greatest area?
Which width gives the greatest area?
a.
6 yd
c.
8.5 yd
b.
7.5 yd
d.
10 yd
This is an application of differential calculus. Given the area as a function of the width, we simply need to differentiate the function with respect to x and equate to zero which yields; 15-2x=0 since the slope of the graph is zero at the turning points. Solving for x yields, x=7.5 which indeed maximizes the area of the pen
A negative and a negative together make a positive so you are basically adding. so you have to find a common denominator which is 8 so you end up with 5/8 + 6/8 = 11/ 8 = 1 and 3/8
