Question

Greta opens a savings account with $25. She saves $20 each week. The table represents her account balance.

Part A: Write an equation that relates the amount of money in greta's account, m, to the number of weeks, w.

Part B: Is the relation a linear or a nonlinear function? Explain.​

Answer 1

The linear function that can be used to show this relationship is m = 20w + 25

A linear equation is in the form:

y = mx + b;

where y, x are variables, m is the rate of change and b is the y intercept.

Let m represent the amount of money in Greta's account after w weeks.

Since she opens a savings account with $25. She saves $20 each week. Hence:

m = 20w + 25

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