Math  /  Algebra

QuestionLesson 6 Checkpoint EVALUATE
Independent Practice \begin{tabular}{|l|c|c|} \hline Learning Goals & Lesson Reflection (circle one) \\ \hline \begin{tabular}{l} I can determine an explicit expression or steps for \\ calculation from a context \end{tabular} & Starting... Getting There... Got it! \\ \hline \end{tabular} Complete the previous problems, check your solutions, then complete the Lesson Checkpoint below. Complete the Lesson Reflection above by circling your current understanding of the Learning Goal(s).
Write an explicit rule in function notation for the arithmetic sequence.
1. A student loan needs to be paid off beginning the first year after graduation. Beginning at Year 1 , there is $52,000\$ 52,000 remaining to be paid. The graduate makes regular payments of $8,000\$ 8,000 each year. The graph shows the sequence.

A home cook needs to boil 1 liter of water on the stove. Water boils at 100C100^{\circ} \mathrm{C}. \begin{tabular}{|l|c|c|c|} \hline Minutes & 3 & 4 & 5 \\ \hline Temperature (C)\left({ }^{\circ} \mathrm{C}\right) & 38 & 46 & 54 \\ \hline \end{tabular}
2. What is the common difference of the sequence represented in the table?
3. What is the explicit rule for the sequence?
4. Find the temperature at 10 minutes. Is the water boiling yet? lifelong Algebra 1A (2024) Module 3

Studdy Solution
The explicit rule for the sequence is f(n)=14+8nf(n) = 14 + 8n.
The temperature at 10 minutes is 94C94^{\circ} \mathrm{C}, which means the water is not boiling yet.

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