Question

Christopher saves $550 every month. Assume that Matthew and Christopher both save money at constant rates. Whose unit rate s higher, and
by how much?
OA Christopher's savings per month Is higher than Matthew's savings per month by $50 per month.
OB. Matthew's savings per month is higher than Christopher's savings per month by $50 per month.
OC. christopher's savings per month Is higher than Matthew's savings per month by $100 per month.
OD. Matthew's savings per month is higher than Christopher's savings per month by $100 per month.
OE. Matthew and Christopher both save the same amount, $550 per month.

Answer 1

Answer:

Matthew's rate is higher by $50 per month.

Step-by-step explanation:

Answer 2

Answer:

The correct answer is:

Matthew's rate is higher by $50 per month.

Step-by-step explanation:

We know that Christopher's rate is $550 per month.

To find Matthew's rate, we will treat the data we have as ordered pairs:

(3, 1800)

(6, 3600)

(9, 5400)

We find the slope of the line between these points.  The formula for slope is:

Using the first two points, we have:

To verify Matthew saves the same amount each month, we will find the slope between the second two points and make sure they're the same:

Matthew's rate is $600 per month.

This is higher than Christopher's by 600-550=$50 per month.