Sandra and Jenny spend a certain amount of money from their money box each month to buy plants. The table shows the relationship between the amount of money (y) remaining in Sandra's money box and the number of months (x):
Number of Months
(x)
Amount Remaining (dollars)
(y)
1
50
2
45
3
40
4
35
The equation shows the relationship between the amount of money, y, remaining in Jenny's money box and the number of months, x:
Function 2:
y = −6x + 50
Which statement explains which function shows a greater rate of change? (5 points)
Function 2 shows a greater rate of change because Jenny spends $6 each month and Sandra spends $5 each month.
Function 2 shows a greater rate of change because Jenny spends $50 each month and Sandra spends $15 each month.
Function 1 shows a greater rate of change because Sandra spends $15 each month and Jenny spends $44 each month.
Function 1 shows a greater rate of change because Sandra spends $5 each month and Jenny spends −$6 each month.
The correct statement is:
Function 2 shows a greater rate of change because Jenny spends $6 each month and Sandra spends $5 each month.