The relationship between ttt and rrr is expressed by the equation 2t+3r+6=02t+3r+6=02, t, plus, 3, r, plus, 6, equals, 0. If rrr increases by 444, which of the following statements about ttt must be true?

Question:

The relationship between t and r is expressed by the equation 2t+3r+6 = 0. If r increases by 4, which of the following statements about t must be true?

The value of t is reduced by 6 when the value of r is increased by 4

Step-by-step explanation:

Given

Required

What happens when r is increased by 4

-------- Equation 1

Subtract 2t from both sides

--- Equation 2

When r is increased by 4, equation 1 becomes

Note that the increment of r also affects the value of t; hence, the new value of t is represented by T

Open bracket

Rearrange

Substitutr -2t for 3r + 6 [From equation 2]

Make T the subject of formula

Divide both sides by 2

This means that the value of t is reduced by 6 when the value of r is increased by 4