+0  
 
+1
82
1
avatar

The function f(x) = −x^2 + 16x − 60 models the daily profit, in dollars, a shop makes for selling candles, where x is the number of candles sold. Determine the vertex, and explain what it means in the context of the problem.

 Jul 31, 2020
 #1
avatar+28021 
+1

This is a dome shaped parabola (due to the negative coefficint of x^2)

 

the max will occur at x = -b/2a      b = 16   a   = -1        so max is at x = 8

 

sub in x = 8 in the equation to find the max value of the quadratic function

      - 8^2 + 16(8) - 60 =  4      this is the max daily profit....found when you sell a measly 8 candles !

 

Here is a graph of the fxn:

https://www.desmos.com/calculator/k0zgp69kyg

 Jul 31, 2020

18 Online Users

avatar
avatar
avatar
avatar