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natta225 [31]
3 years ago
13

AnimeBrainly PleaseHelp!

Mathematics
2 answers:
Aneli [31]3 years ago
8 0


(a) \:  20x+60 \\  (b)  \: 10x+150 \\  (c)  \: Tom \:  pay \:  less \:  during \:  first  \: month: \\ 20 \times 1 + 60 < 10 \times 1 + 150 \\ 80 < 160  \\ Edward  \: pay \:  less \:  after  \: a \:  year: \\ 20 \times 12 + 60 > 10 \times 12 + 150 \\ 300 > 270 \\ (d) \: 20x + \: 60 = 10x + 150 \\ 10x = 90 \\ x = 9 \\ After \:  9 \:  months \:  of \:  membership \:  they  \: will  \: pay \:  the  \: same  \: amount: \:  \textdollar240 \\ (e) \: Super  \: Fit  \: membership \:  is \:  a \:  better  \: deal \:  because  \: you \:  will \:  pay \:  less \:  in \:  a \:  long \:  period  \: of \:  time \:  compared  \: to \:  Platinum \:  Gym  \: membership.
jekas [21]3 years ago
5 0

1.

Platinum Gym charges a one-time registration fee of $60, and membership is $20 a month.

Super Fit charges a one-time registration fee of $150, and membership is $10 a month.

(a) Write a expression to represent the membership cost of Platinum Gym for x months.

Let x = months

20x + 60 is your expression

(b) Write an expression to represent the membership cost of Super Fit for x months

Let x = months

10x + 150 is your expression

(c) You are solving for both one month and twelve months of membership.

<u>One month:</u> Plug in 1 for x.

20(1) + 60 = 20 + 60 = 80

10(1) + 150 = 10 + 150 = 160

Platinum Gym is cheaper overall for one month by $80

<u>One year:</u> There are twelve months in a year. Plug in 12 for x.

20(12) + 60 = 240 + 60 = 300

10(12) + 150 = 120 + 150 = 270

Super Fit is cheaper than Platinum Gym overall for one year by $30

(d) Set the two expression equal to each other.

20x + 60 = 10x + 150

Isolate the x. Subtract 10x and 60 from both sides

20x (-10x) + 60 (-60) = 10x (-10x) + 150 (-60)

20x - 10x = 150 - 60

Simplify

20x - 10x = 150 - 60

10x = 90

Isolate the x. Divide 10 from both sides

10x/10 = 90/10

x = 9

It takes 9 months for the cost to be the same.

(e) It really depends on how long you want to work out at a gym. If you are working out for less than a year, than Platinum Gym is the better choice. If more than a year, then Super Fit is the better choice.

---------------------------------------------------------------------------------------------------------------------

hope this helps

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