Function word problem involving range, domain, and graph

Algebra
Tutor: None Selected Time limit: 1 Day

A plumber charges a flat rate of $75 and $30 for each additional hour. The function is y = 30x + 75. Do the following for this problem: State the function, real life situation, and define your variables (x and y) Provide an Input/Output table with 8 values Graph the function with clearly labeled x- and y-axes. Find the domain and range Write a Conclusion

May 14th, 2015

ocation i'm assuming it is the coordinate of the minimum turning point? 

The gradient of the minimum is zero and so differentiate the given function. 
dy/dx = 30x - 75 
= 0 
30x = 75 
x = 2.5 

Alternatively, the minimum turning point is also the line of symmetry so you can use -b/2a 
= -(-75)/2(15) 
x = 2.5 

anyway to find the coordinate, just sub x = 2.5 into original equation 
y = 15(2.5)^2 - 75(2.5) + 60 
y = -33.75 

and the function is concave up

May 14th, 2015

Your answer does not help me at all. I do not understand this stuff . I need all the steps in the question completed.

May 14th, 2015

ok wait......

May 14th, 2015

Are you still working on this?


May 14th, 2015

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