Question

Barb and John each have a savings account with a sum of money in it. Barb and John each begin to add a set amount of money each week.
The graph shows the total amount in Barb's account each week.




Select each correct answer.



Barb had more money in her account than John when they started their weekly savings.

John is saving at a faster rate than Barb.

John saves $35 the first week.

Barb saves $15 each week.

Answer 1

Answer:

The answers are, "John saves $35 dollars the first week" and "John is saving at a faster rate than Barb"

Answer 2

Answer:  

John is saving at a faster rate than Barb.

John saves $35 the first week.

Barb saves $15 each week.

Step-by-step explanation:

From the given graph, the rate of change of graph with points (0,15) and (5,90) will be

$\text{Rate of change }==\frac{y_2-y_1}{x_2-x_1}=\frac{90-15}{5-0}=15$

Hence, the amount added to Barb's account each week=$15

From the given table, the rate of change of graph with points (1,35) and (3,75) will be

$\text{Rate of change }=\frac{y_2-y_1}{x_2-x_1}=\frac{75-35}{3-1}=20$

Hence, the amount added to John's account each week=$20

Since, 20>15, thus John is saving at a faster rate than Barb.

The amount  in Barb's account in the beginning=$15

From table, John saves $35 the first week.

The amount  in John's account in the beginning=35-20=$15

Hence, they both have same amount in the beginning.