Question

Sarah has $50 in savings at the beginning of January. Each week she adds $5.
a. Write a linear equation that models this situation.
b. In April, her allowance increases, so she is now able to save $10 a week. What value changes in the equation, the slope or the y-intercept?
c. Write an equation to model the new situation.
d. Did the slope increase, decrease, or stay the same?
e. How much did Sarah have in her bank account after saving for twelve weeks in January - March, and forty weeks for the remainder of the year?

Answer 1

what do u think It is?
(I think its B or D)

Answer 2

Its not a multiple choice question the a, b, c, d, and e are the steps

Answer 3

@mathmale

Answer 4

@ILovePuppiesLol

Answer 5

@mathmale please help me!

Answer 6

How much does this person have in the bank at the very beginning? That would be your y-intercept.

By how much does her savings increase every month? That would be your slope.

Think: basic equation for a straight line is y=mx + b.

Answer 7

y=5x+50

Answer 8

the new situation equation is going to be y=10x+50

Answer 9

the slope increased

Answer 10

are my answers correct?

Answer 11

I dont get e

Answer 12

Part a: y=5x+50 Here you have your slope and y-intercept mixed up. Think. Rewrite this equation properly. Again: What is the y-intercept? What is the slope?

Answer 13

the y-intercept is 50
the slope is 5

Answer 14

Correct. Please type out the whole linear equation that describes the given situation.

Answer 15

y=5x+50?

Answer 16

Yes. Now, move on to part b.

Answer 17

the slope changed

Answer 18

Yes. So, what's your new equation?

Answer 19

y=10x+50?

Answer 20

Yes. Move on to c)

Answer 21

y=10x+50

Answer 22

Answer d), please

Answer 23

the slope increased

Answer 24

i dont understand E

Answer 25

How many weeks, total, are we discussing here?

Answer 26

12

Answer 27

Please re-read the question.

Answer 28

I still dont understand it :/

Answer 29

January thru March: after saving for twelve weeks
Rest of year: ??

Answer 30

40 more weeks?

Answer 31

Yes, and the total number of weeks is...?

Answer 32

52

Answer 33

Yes, and the amount this person would have saved by the end of the year would be:


Show all work, please.

Answer 34

Please note that the savings rate changes in mid-year, so you'll have to make 2 separate calculations, one for the first 12 weeks, the other for the next 40 weeks.

Answer 35

okay

Answer 36

110 for the first 12 weeks and 450 for the rest, right?

Answer 37

How many times did you include $50 in your calculations?

Answer 38

one time

Answer 39

That's right. At the beginning, this person had $50. Over the first 12 weeks of the year, how much additional did she save?

Answer 40

i am not suppose to add $50 in the second calculation, right?

Answer 41

60?

Answer 42

Yes. So, after 3 months, this person had accumulated $110. How did you calculate the additional amount she saved over the next 40 weeks?

Answer 43

10*40 and then I added 50 which i dont think I should have done, because the 50 is a saving from January

Answer 44

January*

Answer 45

You are to use that $50 just once. How much extra did this person save during the last 40 weeks of the year?

Answer 46

$400

Answer 47

Yes. So, what's the total she had in her bank account at the end of the year?

Answer 48

yes

Answer 49

510?

Answer 50

No, I'm asking you to provide the final dollar amount. Not a "yes" or "no" question.

Answer 51

Sorry I didnt read your question properly

Answer 52

$510

Answer 53

very nice. Done.

Answer 54

Thank you so much! :)

Answer 55

My pleasure. You did well.

Answer 56

Thank you