Question

kiran is driving along a highway at a speed of 65 miles per hour. answer the questions below regarding the relationship between distance and time. answer attempt 1 out of 2 the independent variable, x, represents the , and the dependent variable is the , because the depends on the . a function relating these variables is c(x)=. so c(3)=, meaning after 3

Explanation:

Step1: Identify variables

In the relationship between distance, speed and time (distance = speed×time), time is independent as it can be freely - chosen. So the independent variable $x$ represents time. The dependent variable is distance because the distance traveled depends on the amount of time driven.

Step2: Form the function

The speed is 65 miles per hour. Using the formula $d = vt$ (where $d$ is distance, $v$ is speed and $t$ is time), the function relating these variables is $C(x)=65x$.

Step3: Evaluate the function

To find $C(3)$, substitute $x = 3$ into the function $C(x)=65x$. So $C(3)=65\times3 = 195$. This means after 3 hours, the distance traveled is 195 miles.

Answer:

The independent variable, $x$, represents the time, and the dependent variable is the distance, because the distance depends on the time. A function relating these variables is $C(x)=65x$. So $C(3)=195$, meaning after 3 hours, the distance traveled is 195 miles.