Example 4
Generate a Sequence
A furnace technician charges $\$ 65$ for making a house call, plus $\$ 42$ per hour or portion of an hour.
a) Generate the possible charges (excluding parts) for the first $4 \mathrm{~h}$ of time.
b) What is the charge for $10 \mathrm{~h}$ of time?

Answer

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Answer

\boxed{\text{b) The charge for 10 hours of time is } 485}

Steps

Step 1 ：Calculate the charges for the first 4 hours using the formula: $65 + 42 * hours$

Step 2 ：$65 + 42 * 1 = 107$

Step 3 ：$65 + 42 * 2 = 149$

Step 4 ：$65 + 42 * 3 = 191$

Step 5 ：$65 + 42 * 4 = 233$

Step 6 ：\boxed{\text{a) The possible charges for the first 4 hours are: } 107, 149, 191, 233}\

Step 7 ：Calculate the charge for 10 hours using the formula: $65 + 42 * hours$

Step 8 ：$65 + 42 * 10 = 485$

Step 9 ：\boxed{\text{b) The charge for 10 hours of time is } 485}