Christopher saves $550 every month. Assume that Matthew and Christopher both save money at constant rates. Whose unit rate s hig

Question

2 years ago

13

Christopher saves $550 every month. Assume that Matthew and Christopher both save money at constant rates. Whose unit rate s hig

her, 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.

Mathematics

2 answers:

Evgesh-ka [11] · Answer 1 · 2022-07-16T19:14:02+03:00

Evgesh-ka [11]2 years ago

7 0

Answer:

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

Step-by-step explanation:

liubo4ka [24] · Answer 2 · 2022-07-16T17:41:14+03:00

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.