Select the correct answer. matthew has recorded the amount he's saved every three months. months savings 3 $1,800 6 $3,600 9 $5,400 christopher saves $550 every month. assume that matthew and christopher both save money at constant rates. whose unit rate is higher, and by how much? a. christopher's savings per month is higher than matthew's savings per month by $50 per month. b. matthew's savings per month is higher than christopher's savings per month by $50 per month. c. christopher's savings per month is higher than matthew's savings per month by $100 per month. d. matthew's savings per month is higher than christopher's savings per month by $100 per month. e. matthew and christopher both save the same amount, $550 per month.

Respuesta :

Option b. matthew's savings per month is higher than christopher's savings per month by $50 per month is the correct answer.

The required details about savings is mentioned in below paragraph.

Savings refers back to the cash that someone has left over when they subtract out their client spending from their disposable income over a given time period. Savings, therefore, represents a internet surplus of budget for an character or family in the end costs and responsibilities were paid.

Savings are stored withinside the shape of coins or coins equivalents (e.g. as financial institution deposits), which might be uncovered to no hazard of loss however additionally include correspondingly minimum returns. Savings may be grown through investing, which calls for that the cash be positioned at hazard, however.

We understand that Christopher's price is $550 in step with month.

To locate Matthew's price, we are able to deal with the statistics we've got as ordered pairs:

(3, 1800)

(6, 3600)

(9, 5400)

We locate the slope of the road among those factors.  The method for slope is:

[tex]y2-y1/x2-x1[/tex]

Using the primary factors, we've got:

[tex]m=3600-1800/6-3=1800/3=600[/tex]

To affirm Matthew saves the equal quantity every month, we are able to locate the slope among the second one factors and ensure they are the equal:

[tex]m=5400-3600/9-6=1800/3=600[/tex]

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