Question

valentina works as a welder for metal arts mechanics. this week, she will earn her usual weekly pay as well as an additional amount for each hour she works overtime. this situation can be modeled as a linear relationship. chart: x-axis is overtime hours (0 - 10), y-axis is total pay ($760 - $1120), red line from (0, $800) to (10, ~$1120) complete the statement that describes the situation. valentina will earn her usual dropdown this week plus an extra dropdown per hour for any overtime work.

Explanation:

Step1: Identify the y-intercept

The y-intercept (when \( x = 0 \), overtime hours = 0) is \( \$800 \). This represents her usual weekly pay.

Step2: Calculate the slope (overtime rate)

Use two points, e.g., \( (0, 800) \) and \( (8, 1040) \). The slope \( m=\frac{y_2 - y_1}{x_2 - x_1}=\frac{1040 - 800}{8 - 0}=\frac{240}{8} = 30 \). So the extra per overtime hour is \( \$30 \).

Answer:

usual weekly pay: \$800; extra per hour: \$30