How much money will you have after 5, 10, 15 & 20 weeks of savings .

Question

asked Apr 16, 2023 155k views

1 Answer

AlexR · Answer 1 · 2023-04-21T16:08:19+0000

We will have the points (0, 50) & (2, 100), using this we can find a linear equation that models the money over time. We first find the slope:

$m=(100-50)/(2-0)\Rightarrow m=25$

Now, using one of the points we replace in:

We will use (0, 50), but we could use any other point of the line. Now, we replace:

And now, we solve for y:

$\Rightarrow y=25x+50$

Now, in order to get the saving for each month, we replace x by 5, 10, 15 & 20 respectively:

*5 weeks:

$y=25(5)+50\Rightarrow y=175$

*10 weeks:

$y=25(10)+50\Rightarrow y=300$

*15 weeks:

$y=25(15)+50\Rightarrow y=425$

*20 weeks:

$y=25(20)+50\Rightarrow y=550$

From this, we have that the savings for 5, 10, 15 & 20 weeks are 175, 300, 425 & 550 respectively.