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latisha earns $5 an hour painting her neighbor's fence.

part a: create two variables and determine which is dependent and which is independent for this situation. (4 points)

part b: list three ordered pairs to show the values of the two variables. (3 points)

part c: write an equation to represent the relationship between the two variables. (3 points)

Part A and Part C : Let x represents the number of hours and y represents the earning after x hours,

As per statement,

The earning is $5 for an hour,

Thus, the earning for x hour = 5x

⇒ y = 5x (1)

Which is the equation that shows the  relationship between the two variables ( x and y ),

Since, earning is dependent on the time,

⇒ y is dependent variable and x is independent variable,

Part B :

From equation (1),

For x = 1, y = 5,

For x = 2, y = 10,

For x = 3, y = 15,

Hence, the possible order pairs that shows the value of the values of the two variables are (1,5), (2, 10) and (3, 15).

Part A and Part C : Let x represents the number of hours and y represents the earning after x hours,

As per statement,

The earning is $5 for an hour,

Thus, the earning for x hour = 5x

⇒ y = 5x (1)

Which is the equation that shows the  relationship between the two variables ( x and y ),

Since, earning is dependent on the time,

⇒ y is dependent variable and x is independent variable,

Part B :

From equation (1),

For x = 1, y = 5,

For x = 2, y = 10,

For x = 3, y = 15,

Hence, the possible order pairs that shows the value of the values of the two variables are (1,5), (2, 10) and (3, 15).

hello from mrbilldoesmath!

answer:   x (x+6)^2, choice b

discussion:

factor x out of the equation:

x^3 + 12x^2 + 36x = x (x^2 + 12x + 36).

note that 6+6 = 12 and 6*6 = 36 so the above factors into:

x (x+6)^2

which is choice b

you,

mrb