anonymous
  • anonymous
Use a system of equations to solve the problem. There is an initiation fee to join the Pine River Country Club, as well as monthly dues. The total cost after 7 months' membership will be $3,050, and after 1-1/2 years, $3,930. Find both the initiation fee and the monthly dues.
Mathematics
  • Stacey Warren - Expert brainly.com
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SOLVED
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jamiebookeater
  • jamiebookeater
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anonymous
  • anonymous
think of this as 'find the equation for the line through the points \[(7,3050),(18,3930)\] the 18 because one and a half years is 18 months. the slope is the monthly dues, the y-intercept (what you get when x = 0) is the initiation fee.
anonymous
  • anonymous
\[m=\frac{3930-3050}{18-7}=\frac{880}{11}=88\] so it is $88 a month.
anonymous
  • anonymous
to find the y-intercept write \[y-y_1=m(x=x_1)\] \[y-3050=88(x-7)\] \[y-3050=88x-616\] \[y=88x+2434\] initiation fee is $2434

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