PLEASE HELP ME I'LL GIVE BRAINLIEST.......

Kari and Kristoff each have a savings account with a sum of money in it. Kari and Kristoff each begin to add a set amount of money each week.

The graph shows the total amount in Kari's account each week.

The table shows the total amount in Kristoff's account each week.
Week Amount ($)
1 70
3 110
5 150

Which statements about the bank accounts are true?

Select each correct answer.(There is more than one answer)

A. Kari saves $10 each week.

B. Kari had more money in her account than Kristoff when they started their weekly savings.

C. Kari is saving at a faster rate than Kristoff.

D. Kristoff saves $70 the first week.

PLEASE HELP ME ILL GIVE BRAINLIEST Kari and Kristoff each have a savings account with a sum of money in it Kari and Kristoff each begin to add a set amount of m class=

Respuesta :

A.) Is true, because if you follow the graph, at each week, $10 has been added.
B.) Also true, look at the graph, Kari starts with 85 and Kristoff starts with 70.


Have a expediently awesome day! 

Explanation:

When you will observe,the table,  as week progresses , the total amount in Kristoff's account increases by $ 20.

Third week - First week =110 - 70

              =40

Similarly, Fifth week - Second week=150-110

    =40

Also, if you plot these points (1,70),(3,110),(5,150), on two dimensional plane, the slopes between two points are equal.

[tex]m=\frac{110-70}{3-1}=\frac{150-110}{5-3}=\frac{150-70}{5-1}=20[/tex]

Given by point slope formula

[tex]m=\frac{y_{2}-y_{1}}{x_{2}-x_{1}}[/tex]

2 m=40

m=20

Means , Kristoff saves $ 20 each week.

Now, coming to Kari's bank account

[tex]m_{1}=\frac{135-85}{5-0}\\\\m_{1}=\frac{50}{5}=10[/tex]

So, the true statements are

A. Kari saves $10 each week.

B. Kari had more money in her account than Kristoff when they started their weekly savings.

D. Kristoff saves $70 the first week.