Ronin and Tom 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 Ronin's money box and the number of months (x) : Number of Months (x) Amount Remaining (dollars) (y) 1 70 2 67 3 64 4 61 The equation shows the relationship between the amount of money, y, remaining in Tom's money box and the number of months, x: Function 2: y = - 4x + 70 Which statement explains which function shows a greater rate of change? Function 2 shows a greater rate of change, because Tom spends $70 each month and Ronin spends $9 each month. Function 2 shows a greater rate of change, because Tom spends $66 each month and Ronin spends $9 each month. Function 2 shows a greater rate of change, because Tom spends $4 each month and Ronin spends $3 each month. Function 1 shows a greater rate of change, because Ronin spends $3 each month and Tom spends - $4 each month.

Question

Mathematics

Hobbs

18 January, 14:38

Ronin and Tom 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 Ronin's money box and the number of months (x) : Number of Months (x) Amount Remaining (dollars) (y) 1 70 2 67 3 64 4 61 The equation shows the relationship between the amount of money, y, remaining in Tom's money box and the number of months, x: Function 2: y = - 4x + 70 Which statement explains which function shows a greater rate of change? Function 2 shows a greater rate of change, because Tom spends $70 each month and Ronin spends $9 each month. Function 2 shows a greater rate of change, because Tom spends $66 each month and Ronin spends $9 each month. Function 2 shows a greater rate of change, because Tom spends $4 each month and Ronin spends $3 each month. Function 1 shows a greater rate of change, because Ronin spends $3 each month and Tom spends - $4 each month.

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Answers (1)

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Aedan · Answer 1

Ronin:

(1,70) (2,67)

slope (rate of change) = (67 - 70) / (2 - 1) = - 3/1 = - 3

Tom:

y = - 4x + 70 ... In y = mx + b form, the slope can be found in the m position. So the slope of this line is - 4

Function 2 shows a greater rate of change because Tom spends $4 each month and Ronin spends $ 3 each month