SOLUTION: The ideal weight w(in pounds) of a man is a function of his height h(in inches). This function is defined by: w(h) = 5h - 190 What should the height be for a man who weighs 200

Algebra ->  Functions -> SOLUTION: The ideal weight w(in pounds) of a man is a function of his height h(in inches). This function is defined by: w(h) = 5h - 190 What should the height be for a man who weighs 200      Log On


   

Question 655535: The ideal weight w(in pounds) of a man is a function of his height h(in inches). This function is defined by: w(h) = 5h - 190
What should the height be for a man who weighs 200lb?

I substituted 200 to w making an equation of 200(h) = 5h - 190. Then, I transfered the equation on the right to the left making 200(h) - 5h + 190 = 0. Combining like terms, I got 195h + 190 = 0. Getting the value of h, I used 195h = - 190 and divided both sides to 195 having the answer of h = - 0.974358974.
Answer by jim_thompson5910(35256) About Me  (Show Source):
You can put this solution on YOUR website!
w(h) = 5h - 190

200 = 5h - 190

200+190 = 5h

390 = 5h

390/5 = h

78 = h

h = 78

So his height in inches should be 78 inches.