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4 years ago

2. The registration at a preschool is $125. Then,

Mathematics

1 answer:

denis23 [38]4 years ago

5 0

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)

Learn more:

You can learn more about the word problem in brainly.com/question/5059091

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