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For an annual membership fee of $500,Mr.Bailey can join a country club that would allow him to play a round of golf for $35. Without the membership, the country club charges $55 for each round of golf. How many rounds of golf would Mr.Bailey have to play for the cost to be the same with and without a membership

Respuesta :

calculista

Answer:

25 rounds

Step-by-step explanation:

Let

x -----> the number of rounds of golf

y ---> total charges to play

The linear equation in slope intercept form is equal to

[tex]y=mx+b[/tex]

where

m is the slope or unit rate

b is the y-intercept or initial value

Membership

[tex]y=35x+500[/tex] ----> equation A

The slope is  m=$35 per round

The y-intercept b=$500 (annual membership fee)

Non-Membership

[tex]y=55x[/tex] ----> equation B

The slope is  m=$55 per round

The y-intercept b=$0

Equate equation A and equation B

[tex]55x=35x+500[/tex]

solve for x

[tex]55x-35x=500[/tex]

[tex]20x=500[/tex]

[tex]x=25\ rounds[/tex]

For x=25 rounds the cost to be the same with and without a membership

Answer:9/8

Step-by-step explanation:

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