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Tom and Jack 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 Tom's account and the number of weeks (x): Function 1: Number of Weeks (x) Amount Remaining (dollars) (y) 1 60 2 53 3 46 4 39 The equation shows the relationship between the amount of money, y, remaining in Jack's account and the number of weeks, x: Function 2: y = –8x + 60 Which statements states and explains which function shows a greater rate of change? Function 1, because Tom spends $7 each week and Jack spends –$8 each week Function 1, because Tom spends $21 each week and Jack spends $52 each week Function 2, because Jack spends $60 each week and Tom spends $21 each week Function 2, because Jack spends $8 each week and Tom spends $7 each week
Determine what function would represent the given table values. You could start by plotting the points on a graph. Once you have both functions, graph them and ask yourself which one changes more. It should have something to do with the slope, right?
Right, so whichever function has a steeper graph is what function you should be focusing on. Narrow it down by looking at the x and y-values of the functions and compare it to the dollar values in the answer choices.
So for instance, at day 7, what is the y-value for each function? That should give you the answer you need.
hold on one sec.
it is 18
tom spends 7 dollars per week.
Right, so you know it's either A or D. Now just look at whatever function is steeper.
i think its D
is it D?
Yes, it should be. Function 1 has a smaller slope.