Answer: 1.05x
Explanation:
From the question, we are informed to translate into an algebraic expressions: x is increased by 50% and decreased by 30%. This will be calculated thus:
Firstly, we'll increase x by 50%.
= x + (50% of x)
= x + (0.5 × x)
= x + 0.5x
= 1.5x
Then, we'll decrease 1.5x by 30%. This will be:
= 1.5x - (30% × 1.5x)
= 1.5x - (0.3 × 1.5x)
= 1.5x - 0.45x
= 1.05x
The answer is 1.05x.