Question

If the recommended weight w, in pounds, for a male is given in terms of his height h, in inches, by the formula w = 4.5h – 154, how much greater is Eric's recommended weight than Tom's, according to this formula?

Answer 1

18

Step-by-step explanation:

we need the to know the extra weight Eric has over Tom. To do that we need to subtract Tom's weight from Eric's, but now we do not know what Eric's weight is or Tom's weight. the only clue we have is that Eric is 4 inches taller than Tom

1. if Eric is 4 inches taller that Tom, then

let

Tom's height be
`T_(h)`

and

Eric's height will be 4 inches more

`T_(h) +4`

let's plug these two information into the formula given in the question

for the difference in their weight;

Eric's weight will be;

w =
`4.5(T_(h) +4)-154`

Tom's weight will be

w =
`4.5h-154`

taking the difference between the two expressions above

w =
`[4.5(T_(h) +4)-154]-[4.5h-154]`

opening the bracket

w =
`4.5T_(h) +18-154-4.5h+154`

w = 18 pounds

so Eric's weight is 18 pounds more than Tom's