1: Choose a dollar amount that you think Carly might receive each week.

Question

2: Explain why Carly’s savings over time is an example of linear change.
3: Create a sequence that describes Carly’s growing savings each week over the
course of 20 weeks.
4: Create a formula for Carly’s savings over time.
5: On a sheet of graph paper, create a graph for Carly’s savings over time.
Describe at least one key feature on your graph that signals it depicts linear
change.

Simplify the answers to be short.
Answer each question seperately.

Answer 1

1: Carly might receive $50 each week.

2: Carly’s savings is an example of linear change because she adds the same fixed amount ($50) to her savings each week, resulting in a straight-line increase over time.

3: Sequence of Carly’s savings over 20 weeks:

• Week 1: $50
• Week 2: $100
• Week 3: $150
• ...
• Week 20: $1000

4: Formula for Carly’s savings over time: S = 50t, where S is the savings amount and t is the number of weeks.

5: On a graph, the line representing Carly’s savings will be straight and have a constant slope, demonstrating linear change. A key feature is that each increase of one week results in an increase of $50, which is a consistent rate of growth.