The students at Springfield High School are collecting food for a local food bank. The amount of food collected will determine the number of trucks needed to deliver the food to the food bank. $\newline$ $f =$ the amount of food collected $\newline$ $t =$ the number of trucks needed to deliver the food $\newline$ Which of the variables is independent and which is dependent? $\newline$ Choices: $\newline$ (A) $t$ is the independent variable and $f$ is the dependent variable $\newline$ (B) $f$ is the independent variable and $t$ is the dependent variable

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Grade 8

Identify independent and dependent variables

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Q. The students at Springfield High School are collecting food for a local food bank. The amount of food collected will determine the number of trucks needed to deliver the food to the food bank.

\newline

f =

the amount of food collected

\newline

t =

the number of trucks needed to deliver the food

\newline

Which of the variables is independent and which is dependent?

\newline

Choices:

\newline

(A)

t

is the independent variable and

f

is the dependent variable

\newline

(B)

f

is the independent variable and

t

is the dependent variable

Identify Variables: In this problem, we need to determine which variable is independent and which is dependent. The independent variable is the one that is changed or controlled in a scientific experiment to test the effects on the dependent variable. The dependent variable is the one being tested and measured. In this context, the amount of food collected $f$ will determine the number of trucks needed $t$ to deliver the food. Therefore, the amount of food collected is the independent variable because it is what is being changed, and the number of trucks needed is the dependent variable because it depends on the amount of food collected.
Determine Relationship: Since the amount of food collected $f$ is the factor that will influence the number of trucks needed $t$ , we can say that the amount of food is the cause and the number of trucks is the effect. In other words, the more food collected, the more trucks will be needed. This confirms that $f$ is the independent variable and $t$ is the dependent variable.