Question

parker is driving along a highway at a speed of 50 miles per hour. answer the questions below regarding the relationship between distance and time. answer attempt 1 out of 5 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 context of distance - speed - time, time is the independent variable as it progresses on its own. Distance depends on the amount of time elapsed while moving at a constant speed. So, the independent variable $x$ represents time, and the dependent variable is distance.

Step2: Determine the function

The formula for distance $d$ given speed $s$ and time $t$ is $d = s\times t$. Here, the speed $s = 50$ miles per hour. So the function relating the variables is $C(x)=50x$, where $x$ is time in hours and $C(x)$ is the distance in miles.

Step3: Evaluate the function

To find $C(3)$, we substitute $x = 3$ into the function $C(x)=50x$. So $C(3)=50\times3 = 150$. This means after 3 hours, the distance traveled is 150 miles.

Answer:

The independent variable, $x$, represents the time (in hours), and the dependent variable is the distance (in miles), because the distance depends on the time. A function relating these variables is $C(x)=50x$. So $C(3)=150$, meaning after 3 hours, the distance traveled is 150 miles.