To find the rate of change in terms of balance in dollars with respect to the number of weeks, we need to calculate the difference in balance values for consecutive weeks and divide by the difference in the number of weeks.
Week: 0 1 3 6 8 13
Balance: 32 39 53 75 88 123
The difference in balance for consecutive weeks is:
39 - 32 = 7
53 - 39 = 14
75 - 53 = 22
88 - 75 = 13
123 - 88 = 35
The difference in number of weeks for consecutive weeks is:
1 - 0 = 1
3 - 1 = 2
6 - 3 = 3
8 - 6 = 2
13 - 8 = 5
Now, we can calculate the rate of change:
Rate of change = (difference in balance) / (difference in number of weeks)
Rate of change = (7 + 14 + 22 + 13 + 35) / (1 + 2 + 3 + 2 + 5)
Rate of change = 91 / 13
Rate of change ≈ 7
Therefore, the rate of change in terms of balance in dollars with respect to the number of weeks is 7 per week.
The correct answer is B) 7 per week.
The table shows the linear relationship between the balance saved each week, what is the rate of change in terms of balance in dollars with respect to the number of weeks?
Week: 0,1,3,6,8,13
Balance: 32,39,53,75,88,123
A) 14 per week
B) 7 per week
C) 28 per week
D) 11 per week
1 answer
1 answer