Question

# A membership to the gym cost $25 per person in 1995. The membership cost has increased by an average$6 per person for each year since 1995. Write a linear equation for the cost of a gym membership for one person since 1995. What is the cost of a gym membership in 2009?

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## Answer to a math question A membership to the gym cost $25 per person in 1995. The membership cost has increased by an average$6 per person for each year since 1995. Write a linear equation for the cost of a gym membership for one person since 1995. What is the cost of a gym membership in 2009?

Rasheed
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To write a linear equation for the cost of a gym membership for one person since 1995, we can use the slope-intercept form of a linear equation: y = mx + b. Let's break down the given information: In 1995, the gym membership cost $25 per person. This gives us the y-intercept $b$ of our equation, which is 25. The membership cost has increased by an average of$6 per person for each year since 1995. This tells us the rate of change or the slope $m$ of our equation, which is 6. Putting this information together, we can write the linear equation for the cost of a gym membership for one person since 1995 as: y = 6x + 25 Now, to find the cost of a gym membership in 2009, we need to determine the value of x, which represents the number of years since 1995. Since 2009 is 14 years after 1995, we substitute x = 14 into our equation: y = 6$14$ + 25 y = 84 + 25 y = 109 Therefore, the cost of a gym membership in 2009 is \$109.

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