A membership to the gym costs $23 per person in 1995. The membership cost has increased by an average of $6 per person for each
year since 1995. a. Write a linear equation for the cost of a gym membership for one person since 1995. b. What is the cost of a gym membership in 2009? c. What year did the gym membership cost $85?
A) The membership cost starts at $23 and it adds $6 every year. The 23 would be your b and the 6 would be your slope, m, in the form y=mx+b. y=6x+23 This equation means that you're starting at 23 dollars and adding 6 dollars with every x you add.
B) 2009-1995=14 This means that there's 14 years that the cost increased. 14*6=$84 The membership cost increased by anther $84 over the 14 years. You have to add 84 to 23 to find your total=$107.
C) Set $85 equal to 6x+23 85=6x+23 6x=62 x≈10 10 years later the cost will be $85. 1995+10=2005