The equation of the total cost is y = 475 x + 125, where y is the total cost for x months
a) The rate of change is $475 per month
b) 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 $125
- The parents must also pay $475 per month for tuition
Assume 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 + 125
The 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 month
a) 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)
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