Question

NEED ASAP WILL GIVE 20 points for 1 question only

Lenny and Thad spend a certain amount of money from their money box each month to buy comic books. The table shows the relationship between the amount of money (y) remaining in Lenny's money box and the number of months (x): Function 1 Number of Months (x) Amount Remaining (in dollars) (y) 1 75 2 60 3 45 4 30 The equation shows the relationship between the amount of money (y) remaining in Thad's money box and the number of months (x): Function 2: y = −12x + 80 Which statement explains which function shows a greater rate of change?

(A) Function 2 shows a greater rate of change, because Lenny spends $15 each month and Thad spends $12 each month.

(B) Function 2 shows a greater rate of change, because Lenny spends $75 each month and Thad spends $12 each month.

(C)Function 1 shows a greater rate of change, because Lenny spends $15 each month and Thad spends $12 each month.

(D) Function 1 shows a greater rate of change, because Lenny spends $15 each month and Thad spends $80 each month.

Answer 1

Next time you share a table, please try to present it in rows, like this:

1 75
2 60
3 45
4 30

Here you can see that as x increases from 1 to 4 in steps of 1, y decreases 15 units for each increase in x.  This works out to a slope of -15 for this particular function.  The other function is   Function 2: y = −12x + 80.
Your job is to compare the slopes:  -15 and -12.  The -15 slope is steeper than that of -12.  Use this info to select the correct answer.