A team from the Department of Public Works is painting lines on the freeway. The number of hours needed to finish the project depends on the length of road that needs to be lined. h = the number of hours needed r = the length of road Which of the variables is independent and which is dependent? Choices: (A)r is the independent variable and h is the dependent variable (B)h is the independent variable and r is the dependent variable

Define variables: In any function or relationship between two variables, the independent variable is the one that can be changed or controlled, while the dependent variable is the one that changes in response to the independent variable. In this context, we need to determine which variable causes the change in the other.Identify cause and effect: The length of the road (r) is what needs to be painted, and it is a predetermined value before the work begins. The number of hours needed (h) to paint the road will depend on the length of the road. Therefore, the length of the road is the cause and the number of hours is the effect.Determine independent variable: Since the number of hours needed (h) depends on the length of the road (r), r is the independent variable and h is the dependent variable. This means that as r changes, h will change accordingly. The correct choice is (A) r is the independent variable and h is the dependent variable.

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A team from the Department of Public Works is painting lines on the freeway. The number of hours needed to finish the project depends on the length of road that needs to be lined. $\newline$ $h =$ the number of hours needed $\newline$ $r =$ the length of road $\newline$ Which of the variables is independent and which is dependent? $\newline$ Choices: $\newline$ (A) $r$ is the independent variable and $h$ is the dependent variable $\newline$ (B) $h$ is the independent variable and $r$ is the dependent variable

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Math Problems

Grade 7

Identify independent and dependent variables

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Q. A team from the Department of Public Works is painting lines on the freeway. The number of hours needed to finish the project depends on the length of road that needs to be lined.

\newline

h =

the number of hours needed

\newline

r =

the length of road

\newline

Which of the variables is independent and which is dependent?

\newline

Choices:

\newline

(A)

r

is the independent variable and

h

is the dependent variable

\newline

(B)

h

is the independent variable and

r

is the dependent variable

Define variables: In any function or relationship between two variables, the independent variable is the one that can be changed or controlled, while the dependent variable is the one that changes in response to the independent variable. In this context, we need to determine which variable causes the change in the other.
Identify cause and effect: The length of the road $(r)$ is what needs to be painted, and it is a predetermined value before the work begins. The number of hours needed $(h)$ to paint the road will depend on the length of the road. Therefore, the length of the road is the cause and the number of hours is the effect.
Determine independent variable: Since the number of hours needed $(h)$ depends on the length of the road $(r)$ , $r$ is the independent variable and $h$ is the dependent variable. This means that as $r$ changes, $h$ will change accordingly. The correct choice is (A) $r$ is the independent variable and $h$ is the dependent variable.