Question

Q6 Jake is starting a dog walking service. He charges a flat rate of $5 plus an additional $10 per hour, regardless of the number of dogs. Create a function and use a table to determine how much Jake will make if he works for 1, 1.5, 2, 2.5, and 3 hours.

Answer 1

To determine how much Jake will make for his dog walking service, we can create a function that represents his total earnings based on the number of hours he works. The function can be defined as:

\[
\text{Total Earnings} = 5 + 10 \times h
\]

where:
- \( 5 \) is the flat rate,
- \( 10 \) is the cost per hour,
- \( h \) is the number of hours worked.

Next, we can create a table to calculate Jake's earnings for working 1, 1.5, 2, 2.5, and 3 hours.

| Hours Worked (h) | Total Earnings ($) |
|-------------------|---------------------------|
| 1 | \( 5 + 10 \times 1 = 15 \) |
| 1.5 | \( 5 + 10 \times 1.5 = 20 \) |
| 2 | \( 5 + 10 \times 2 = 25 \) |
| 2.5 | \( 5 + 10 \times 2.5 = 30 \) |
| 3 | \( 5 + 10 \times 3 = 35 \) |

Now, let's calculate the total earnings for each time period:

1. For 1 hour:
\[
5 + 10 \times 1 = 5 + 10 = 15
\]

2. For 1.5 hours:
\[
5 + 10 \times 1.5 = 5 + 15 = 20
\]

3. For 2 hours:
\[
5 + 10 \times 2 = 5 + 20 = 25
\]

4. For 2.5 hours:
\[
5 + 10 \times 2.5 = 5 + 25 = 30
\]

5. For 3 hours:
\[
5 + 10 \times 3 = 5 + 30 = 35
\]

So, the completed table with the calculated total earnings is:

| Hours Worked (h) | Total Earnings ($) |
|-------------------|--------------------|
| 1 | 15 |
| 1.5 | 20 |
| 2 | 25 |
| 2.5 | 30 |
| 3 | 35 |

This table summarizes how much Jake will make based on the number of hours he works.