Question

Give the correct algebraic translation of "Howard's hourly wage \(h\) is \(\$ 2\) greater than Marla's hourly wage \(m\)." (A)\(h < m+2\) (B) \(h=m+2\) (C) \(m=h+2\) (D) \(h > m+2\)

Short answer

The correct algebraic translation is \(h = m + 2\), so the answer is (B).

Step-by-step solution

Analyze the Statement

The statement says 'Howard's hourly wage \(h\) is \$2 greater than Marla's hourly wage \(m\)'. This indicates that Howard's wage is \$2 more than Marla's wage. 'More than' in mathematics often implies addition or a greater value.

Translate to Math

We can represent Howard’s wage as \(h\), and Marla’s wage as \(m\). When we say Howard's wage is \$2 'more than' Marla's wage, we mean that if we take Marla's wage and add \$2 to it, we get Howard's wage. Mathematically, this is expressed as \(h = m + \$2\).

Match to Options

In the options provided, this is expressed as option (B), \(h = m + 2\).