Based on the provided table, we can determine the rate of change in terms of balance by looking at the difference in balance between consecutive weeks.
Between weeks 0 and 1, the balance increases from $32 to $39, which is an increase of $7 in one week. Therefore, the rate of change in terms of balance is $7 per week.
Between weeks 1 and 3, the balance increases from $39 to $53, which is an increase of $14 in two weeks. Therefore, the rate of change in terms of balance is $14/2 = $7 per week.
Between weeks 3 and 6, the balance increases from $53 to $74, which is an increase of $21 in three weeks. Therefore, the rate of change in terms of balance is $21/3 = $7 per week.
Between weeks 6 and 8, the balance increases from $74 to $88, which is an increase of $14 in two weeks. Therefore, the rate of change in terms of balance is $14/2 = $7 per week.
Between weeks 8 and 13, the balance increases from $88 to $123, which is an increase of $35 in five weeks. Therefore, the rate of change in terms of balance is $35/5 = $7 per week.
In conclusion, the rate of change in terms of balance with respect to the number of weeks in this linear relationship is $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 l 0 l 1 l 3 l 6 l 8 l 13 l
Balance l 32 l 39 l 53 l 74 l 88 l 123 l
(Dollars)
$14 per week
$7 per week
$28 per week
$11 per week
1 answer