Question

1. the value of a home in los angeles increased by 12% over last year. write an expression as a product to represent the value of the home now if h represents the value of the home last year.

Explanation:

Step 1: Understand the percentage increase

A 12% increase means the new value is the original value plus 12% of the original value. Mathematically, 12% is 0.12, so the increase is \( 0.12H \). The new value is the original value \( H \) plus the increase \( 0.12H \), which can be factored as \( H(1 + 0.12) \).

Step 2: Simplify the coefficient

Simplify \( 1 + 0.12 \) to get \( 1.12 \). So the expression for the current value of the home is \( 1.12 \times H \) or \( 1.12H \).

Answer:

The expression representing the value of the home now is \( 1.12H \).