Answer:
Only two are correct;
a) The electrician charges an initial fee of $42
b) The electrician charges $22 for every hour worked
Step-by-step explanation:
Here, we want to select all possible correct options;
Kindly understand that the equation of a straight line can be represented in the form;
y = mx + c
where m is the slope and c is the y-intercept (where x = 0)
1. The electrician charges an initial fee of $22
This is wrong. $22 represents the slope and it indicates a rate of change and not an initial fee
2. The y-variable represents the number of hours
This is wrong. What the y-variable represents is the amount charged in US dollars
3. The electrician charges an initial fee of $42
This is correct. The y-intercept value is the value when x is zero
4. The electrician charges $22 for every hour worked
This is correct. From the equation, 22 represents the change which is the slope
It is the amount charged per hour
5. The x-variable represents the electrician’s charges in dollars
This is wrong. As we can see from the question, the x-variable represents the number of hours
6. The electrician charges $42 for every hour worked
This is wrong. What $42 represents is the charge at 0 hour which means the charge at x = 0
