Question

Doris and Miguel are saving money weekly but at different rates. Doris and Miguel both write and graph equations to represent their savings. In both equations y represents the amount in their savings account after x number of weeks. When the equations are graphed, the lines intersect at the point (6, 114)

. Which statement best explains the point of intersection?


Miguel will have $114 more than Doris after 6 weeks.


Doris will have $114 more than Miguel after 6 weeks.


Doris and Miguel will have the same amount after 6 weeks.


Doris and Miguel will have the same amount after 114 weeks.

Answer 1

Answer:

Doris will have tje same amount after 6 weeks

Answer 2

The correct answer to the question is Option (3).

i.e., Doris and Miguel will have the same amount after 6 weeks.

Given:

Doris and Miguel are saving money weekly but at different rates.

The intersection point of the graphs plotted by both of them is(6, 114).

Solution:

According to the question given;

• Both Doris and Miguel wrote and drew graphs of the equations to represent their savings, where;

• On the Y-axis 'The amount in their savings account' was plotted whereas, On the X-axis 'The number of weeks' was plotted.
• Both equations formed by each of them would be with a different slope as they were saving money at different rates.
• Now, the X and Y coordinates of the intersection point of the two graphs would denote the number of weeks taken and the amount saved in their savings account respectively.
• Thus (6, 114) denotes that both of them saved an amount of $114 in a total of 6 weeks.

i.e., Doris and Miguel will have the same amount after 6 weeks is the correct statement.

#SPJ3