Respuesta :
y = 120 + 75x
y is total charge
75x where 75 is monthly charge and x is number of months
120 is installation charges.
Dish television charges modeled by the equation represents,
- a) The total cost is represented by variable y.
- b) The number of months is represented by is represented by variable x.
- c) The installation fee is represented by constant 120.
- d) The monthly charge is represented by coefficient 75.
What is linear equation ?
Linear equation is the equation in which the highest power of the unknown variable is one. Linear equation are used to model the real life problem in the mathematical expressions.
The linear equation with dependent variable y and independent variable x can be written as,
[tex]y=mx+c[/tex]
Here, [tex]m[/tex] is the slope of the equation and [tex]c[/tex] is the y intercept.
Given information-
The total cost is modeled by the equation
[tex]y=120+75x[/tex]
In the above equation the, variable y is dependent variable and the variable x is independent variable. The constant term 120 is fixed.
- a) The total cost is represented by-As the total cost is the overall cost of the dish television. This is shown by the dependent variable y, which given the final value of cost. Thus the total cost is represented by variable y.
- b) The number of months is represented by-The independent variable x represent the number of months.
- c) The installation fee is- As the one time installation fee is fixed which does not vary. Thus the constant 120 represent the installation fee.
- d) The monthly charge is-The monthly charge is written with independent variable y. Thus,The monthly charge is represented by coefficient 75.
Hence,
- a) The total cost is represented by variable y.
- b) The number of months is represented by is represented by variable x.
- c) The installation fee is represented by constant 120.
- d) The monthly charge is represented by coefficient 75.
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