Question

Plzz help!!!

Leighanne and Martin each have a savings account with a sum of money in it.

Leighanne and Martin each begin to add a set amount of money each week.

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

The table shows the total amount in Martin's account each week.

Week Amount ($)

1 65
3 145
5 225

Which statements about the bank accounts are true?

Select each correct answer.




Leighanne had more money in her account than Martin when they started their weekly savings.

Martin saves $65 the first week.

Leighanne saves $50 each week.

Leighanne is saving at a faster rate than Martin.

Answer 1

Martin save $65 the first week

Answer 2

Answer: Martin saves $65 the first week.

Leighanne saves $50 each week.

Leighanne is saving at a faster rate than Martin.

Explanation:

Given: Leighanne and Martin each begin to add a set amount of money each week.

It means the relationship between number of weeks and saving amount is a linear relationship. the rate of change in linear relation is constant.

From the given table, the rate of change of saving amount per week is given by :-

`(145-65)/(3-1)=(80)/(2)=40`

Thus, Martin add $40 per week to his savings.

From table, in week 1 , the amount = $65

⇒Martin saves $65 the first week.

Now, the initial amount in the beginning=
`65-40=\$25`

From graph the initial amount in the beginning =$15

Clearly 15<25

therefore, Martin had more money in her account than Leighanne when they started their weekly savings.

The rate of change of Leighanne saving is given by :-

`(265-15)/(5-0)=(250)/(5)=50`

⇒ Leighanne saves $50 each week.

Since, $40< $50

Thus, Leighanne is saving at a faster rate than Martin.