Question

Help please? <3 ;P :3

Answer 1

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

Answer 2

@Hero

Answer 3

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?

Answer 4

correct. @verlieren

Answer 5

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.

Answer 6

So for instance, at day 7, what is the y-value for each function? That should give you the answer you need.

Answer 7

hold on one sec.

Answer 8

it is 18

Answer 9

@verlieren

Answer 10

tom spends 7 dollars per week.

Answer 11

Right, so you know it's either A or D. Now just look at whatever function is steeper.

Answer 12

i think its D

Answer 13

@verlieren

Answer 14

is it D?

Answer 15

Yes, it should be. Function 1 has a smaller slope.

Answer 16

thank you