Question

A lawn care business charges a one-time service fee and an additional fee for each hour worked. The table shows the total charges, c, based on the number of hours worked, h.

Hours Worked Total Charge ($)
0 20
1 35
2 50
3 65
4 80

Based on the table, which statement about the total charges is true?
The initial service fee is $0, and each hour of work costs $20.
The initial service fee is $35, and each hour of work costs $15.
The initial service fee is $20, and each hour of work costs $15.
The initial service fee is $20, and each hour of work costs $20.

Answer 1

To analyze the charges based on the provided table, we need to find the initial service fee and the hourly rate.

From the table:

- At 0 hours worked, the total charge is $20. This indicates the initial service fee.
- At 1 hour worked, the total charge is $35.
- At 2 hours worked, the total charge is $50.
- At 3 hours worked, the total charge is $65.
- At 4 hours worked, the total charge is $80.

Now, let's determine the hourly charge.

The initial service fee is $20 (the charge for 0 hours).
We can calculate the charge per hour by looking at the differences in cost for each additional hour.

- From 0 to 1 hour: $35 - $20 = $15
- From 1 to 2 hours: $50 - $35 = $15
- From 2 to 3 hours: $65 - $50 = $15
- From 3 to 4 hours: $80 - $65 = $15

The additional charge for each hour worked is $15.

Therefore, the correct statement is:
**The initial service fee is $20, and each hour of work costs $15.**