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Express the relationship 4q+7h=28 as a function H equals F(Q), if possible,H=f(q)=

a)28−4Q
b)28−7Q
c)7Q−4
d)4Q+7

1 Answer

3 votes

Final answer:

The relationship 4q + 7h = 28 can be expressed as a function H = f(q) by isolating h to get H = f(q) = 4 - (4/7)Q, which is not one of the given options.

Step-by-step explanation:

To express the relationship 4q + 7h = 28 as a function H = f(Q), we need to solve for h in terms of q. This involves isolating h on one side of the equation.

Starting with the original equation:

  1. 4q + 7h = 28
  2. 7h = 28 - 4q
  3. h = (28 - 4q) / 7

Simplify the right-hand side to get the function of h in terms of q:

  1. h = 4 - (4/7)q

Therefore, the function is H = f(q) = 4 - (4/7)Q, which is not one of the provided options a) 28−4Q b) 28−7Q c) 7Q−4 d) 4Q+7.

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