2. The registration at a preschool is $125. Then,parents must also pay $475 per month fortuition. Write an equation to represent thetotal cost after each month. Identify yourvariables. a) What is the rate of change?b) What is the initial value?c) What is the Independent variable?d) What is the dependent variable?

The equation of the total cost is y = 475 x + 125, where y is the total cost for x monthsa) The rate of change is $475 per monthb) The initial value is $125 c) The independent variable is the number of months (x)d) The dependent variable is the total cost after each month (y)Step-by-step explanation:The given is:The registration at a preschool is $125The parents must also pay $475 per month for  tuitionAssume that the total cost is y for x months∵ The registration fee = $125 ⇒ paid once∵  The parents pay $475 per month for  tuition∵ The number of months is x∴ The total cost y = 475 x + 125The equation of the total cost is y = 475 x + 125, where y is the total cost for x months∵ y = 475 x + 125 is in the form of the linear equation y = m x + b,   m is the slope of the line and b is the y-intercept∵ The slope of the line m is the rate of change y with respect to x ∴ m = 475∴ The rate of change is $475 per montha) The rate of change is $475 per month∵ b is the initial value of y at x = 0∴ b = 125∴ The initial value is $125 b) The initial value is $125 ∵ The independent variable is x∴ The independent variable is the number of months (x)c) The independent variable is the number of months (x)∵ The dependent variable is y∴ The dependent variable is the total cost after each month (y)d) The dependent variable is the total cost after each month (y)Learn more:You can learn more about the word problem in brainly.com/question/5059091#LearnwithBrainly