Question

DUE IN 15 MINUTES PLEASE HELP

Tony and Ricky spend a certain amount of money from their accounts each week at a pet shelter.

The table shows the relationship between the amount of money (y) remaining in Tony's account and the number of weeks (x):

Function 1:


Number of Weeks
(x) Amount Remaining (dollars)
(y)
1 30
2 24
3 18
4 12


The equation shows the relationship between the amount of money, y, remaining in Ricky's account and the number of weeks, x:

Function 2:

y = –7x + 30

Which statement states and explains which function shows a greater rate of change?
Function 1, because Tony spends $6 each week and Ricky spends –$7 each week
Function 2, because Ricky spends $7 each week and Tony spends $6 each week
Function 1, because Tony spends $18 each week and Ricky spends $23 each week
Function 2, because Ricky spends $30 each week and Tony spends $18 each week

Answer 1

Answer: it’s b lol

Step-by-step explanation: got it right on my quiz

Answer 2

Function 2, because Ricky spends $7 each week and Tony spends $6 each week

Explanation:

You find the rate of weekly rate of change by calculating the difference of the amount changing each week:

24 - 30 = - 6

18 - 24 = - 6

12 - 18 = - 6

As you see the rate of change is constant: - 6 dollars per week. This means that Tony is spending 6 dollars every week

Function 2: y = –7x + 30

The rate of change is the slope (m) of the linear function, and this is the coefficient of the independent variable, x.

This equation is written in slope intercept form (y= mx+b)

Then the rate of change is - 7 dollar per week. This means Ricky spends 7 dollars every week.

Now you know that the two rates are constant and that the second function shows a steeper decreasing.