Question

Identify the independent variable (domain). 5x+2y= 150

Answer 1

Answer:

The independent variable is x

Step-by-step explanation:

In the equation y = m x + b

• m is the rate of change ⇒ constant

• b is the initial value ⇒ constant

• x is the domain ⇒ input

• y is the range ⇒ output

x is the independent variable because it does not depend on any value

y is the dependent variable because it depends on the value of x

Let us solve the question

∵ 5x + 2y = 150

→ Put it in the form above by subtracting 5x from both sides

∵ 5x - 5x + 2y = 150 - 5x

∴ 2y = 150 - 5x

→ Divide each term by 2 to make the coefficient of y equal 1

∴ y = 75 - 2.5x

∴ y = -2.5x + 75

→ Compare is by the form above

∴ m = -2.5 and b = 75

∴ x is the independent variable (domain)

∴ y is the dependent variable (range)