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andrey2020 [161]
2 years ago
13

If a ∝ b and a = 18 when b = 3, then find a when b = 5.

Mathematics
1 answer:
Elden [556K]2 years ago
4 0

"a ∝ b" means "a is proportional to b", which in turn means there is some constant k such that

a = kb

We're given that a = 18 and b = 3, so that

18 = 3k   ⇒   k = 6

Then when b = 5, we would have

a = 6 × 5 = 30

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<u>Pre-Alg</u>

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Step-by-step explanation:

<u>Step 1: Define equation</u>

5x - (x + 4) + 1 = 3 - 2(x + 6)

<u>Step 2: Solve for </u><em><u>x</u></em>

  1. Distribute:                          5x - x - 4 + 1 = 3 - 2x - 12
  2. Combine like terms:          4x - 3 = -2x - 9
  3. Add 2x on both sides:      6x - 3 = -9
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<u>Step 3: Check</u>

<em>Plug in x to verify it's a solution.</em>

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  3. Multiply:                        -5 - 3 + 1 = 3 - 10
  4. Subtract:                       -8 + 1 = -7
  5. Add:                              -7 = -7
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