Question

(b) an employee is paid $10.50 per hour plus $2 for each unit produced per hour.
the situation matches graph --select-- ▼. the slope is □, which represents the --select-- ▼ hourly wage per unit produced. the y-intercept is (x, y) = (□), which represents the --select-- ▼ hourly wage.

Explanation:

Step1: Identify wage function form

Let $x$ = number of units produced per hour, $y$ = total hourly wage. The function is $y = 2x + 10.50$, which is a linear function $y=mx+b$.

Step2: Match to linear graph type

Linear functions correspond to a line graph.

Step3: Identify slope value/meaning

In $y=mx+b$, $m=2$, which is the rate per unit produced.

Step4: Identify y-intercept value/meaning

In $y=mx+b$, $b=10.50$, which is the base hourly wage (when $x=0$).

Step5: Define intercept point

The y-intercept occurs at $x=0$, so $(x,y)=(0, 10.50)$.

Answer:

The situation matches graph a line. The slope is $\boldsymbol{2}$, which represents the additional hourly wage per unit produced. The y-intercept is $(x, y) = \boldsymbol{(0, 10.50)}$, which represents the base hourly wage.