Question

3. The table shows the linear relationship between the balance of a student's savings account and the number of weeks she has been saving. Savings Account Week 0 1 2 4 7 12 Balance (dollars) 24 32 40 56 80 120 Based on the table, what was the rate of change of the balance of the student's savings account in dollars and cents per week?

Answer 1

The number of weeks are 0 1 2 4 7 12

The balances are 24 32 40 56 80 120

The rate of change of the balance of the student's savings account in dollars and cents per week is also referred to as the slope of the graph that can be potted with these values. The formula for slope is expressed as

Slope = (y2 - y1)/(x2 - x1)

y1 and y2 would be consecutive values of the balance

x1 and x2 would be consecutive values of the number of weeks

When x1 = 0, y1 = 24

When x2 = 1, y1 = 32

Slope = (32 - 24)/(1 - 0)

Slope = 8

The rate of change of the balance of the student's savings account in dollars and cents per week is 8 dollars per week. Converting to cents, it would be 800 cents per week