Select the correct answer.
Brandon is analyzing the profits from two of his restaurant locations. The first location showed a profit of $3,000 in the first week of the year but
has a showed a steady decrease in profits of 1.5% each week since then.
His second location showed a profit of $1,500 in the first week of the year and has showed a steady increase in profits of 1.2% each week since
then.
Which system of equations can Brandon use to determine the number of weeks, x, until the profits, y, from the two locations are the same?
ОВ.
OA y = -3,000(0.985)
y = 1,500(1.012)
y = 3,000(1.015)"
y = 1,500(1.012)"
OC.
y = -3,000(1.015)"
y = 1,500(1.012)
y = 3,000(0.985)
y = 1,500(1.012)"
OD.

Answer:

y=3,000(0.985)^x

y=1,500(1.012)^x

Step-by-step explanation:

System of equations  Brandon can use for  two location are y= 3000[tex](0.985)^{x}[/tex] and y =[tex]1500(1.012)^{x}[/tex]

Profit and loss percentage are used to refer to the amount of profit or loss that has been incurred in terms of percentage.

According to question

Brandon is analyzing the profits from two of his restaurant locations.

where

x = number of week

y = the profit

1st restaurant : showed a profit of $3,000 in the first week of the year but

has a showed a steady decrease in profits of 1.5% each week since then

So in equation we can write it as

y= [tex]3000(1 - 0.015)^{x\\}[/tex]

y= 3000[tex](0.985)^{x}[/tex]

2nd restaurant : showed a profit of $1,500 in the first week of the year and has showed a steady increase in profits of 1.2% each week since then.

So in equation we can write it as

y = [tex]1500(1+0.012)^{x}[/tex]

y =[tex]1500(1.012)^{x}[/tex]

Hence, system of equations can Brandon use to determine the x and y form the two location are y= 3000[tex](0.985)^{x}[/tex] and y =[tex]1500(1.012)^{x}[/tex]

To know more about profits and loss percentage  here :

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