Darren and Naomi are going on a road trip together. They have a limited budget, so they consider several different routes and calculate the cost of gas for each route. The cost of gas for each route depends on the length of the route. g = the cost of gas r = the length of the route Which of the variables is independent and which is dependent? Choices: (A)g is the independent variable and r is the dependent variable (B)r is the independent variable and g is the dependent variable

Identify Variables: In any given 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 the context of this problem, we need to determine which variable influences the other.Length of Route: The length of the route (r) is something that Darren and Naomi can choose and control before they start their trip. They can decide how far they want to travel, which means the length of the route is the independent variable.Cost of Gas: The cost of gas (g) will depend on the length of the route they choose. If they choose a longer route, the cost of gas will be higher, and if they choose a shorter route, the cost of gas will be lower. This means that the cost of gas is the dependent variable because it depends on the length of the route.

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Darren and Naomi are going on a road trip together. They have a limited budget, so they consider several different routes and calculate the cost of gas for each route. The cost of gas for each route depends on the length of the route. $\newline$ $g$ = the cost of gas $\newline$ $r$ = the length of the route $\newline$ Which of the variables is independent and which is dependent? $\newline$ Choices: $\newline$ (A) $g$ is the independent variable and $r$ is the dependent variable $\newline$ (B) $r$ is the independent variable and $g$ is the dependent variable

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Math Problems

Grade 7

Identify independent and dependent variables

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Q. Darren and Naomi are going on a road trip together. They have a limited budget, so they consider several different routes and calculate the cost of gas for each route. The cost of gas for each route depends on the length of the route.

\newline

g

= the cost of gas

\newline

r

= the length of the route

\newline

Which of the variables is independent and which is dependent?

\newline

Choices:

\newline

(A)

g

is the independent variable and

r

is the dependent variable

\newline

(B)

r

is the independent variable and

g

is the dependent variable

Identify Variables: In any given 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 the context of this problem, we need to determine which variable influences the other.
Length of Route: The length of the route $r$ is something that Darren and Naomi can choose and control before they start their trip. They can decide how far they want to travel, which means the length of the route is the independent variable.
Cost of Gas: The cost of gas $g$ will depend on the length of the route they choose. If they choose a longer route, the cost of gas will be higher, and if they choose a shorter route, the cost of gas will be lower. This means that the cost of gas is the dependent variable because it depends on the length of the route.