C. A monthly service fee of $0.50 and a per-check fee of $1.00.
Step-by-step explanation:
Step 1:
The graph represents the number of checks written per month on the x-axis and the total monthly fees on the y-axis.
There is a monthly service fee and a personal check fee.
To determine the monthly service fee, we determine the value of y when x = 0.
To determine the personal check fee, we calculate the difference between the values of y when x varies.
Step 2:
When [tex]x=0, y = 0.50[/tex] so when the number of checks written is zero, the price is $0.50. This is the monthly service fee.
When
[tex]x=1, y = 1.50[/tex],
[tex]x=2, y=2.50[/tex]
[tex]x=3, y=3.50.[/tex]
So for every unit change in x, the y values also change by $1. So the personal check fee is $1.
So a monthly service fee of $0.50 and a per-check fee of $1.00, which is option C.