Question

watch the video to answer these questions
1 a cell phone sends a 5 megabyte picture at a rate of 0.2 megabytes per second. the megabytes of data remaining to be sent at time t seconds is represented by the variable d. use the input - ouput table in the video to complete this function table.
2 complete each statement.
the dependent variable in this function is d and independent variable in this function is t
the data to be downloaded (d) is a function of the time downloading (t)
2 complete the equation that represents this function.
d = t+
3 complete both statements.
the independent variable is always represented on the horizontal axis
the dependent variable is always represented on the vertical axis
4 graph a line for this function.
5 select each set of ordered pairs that represents a function.

Explanation:

Step1: Identify the rate of change

The phone sends data at a rate of 0.2 megabytes per second. So the amount of data remaining $d$ decreases by 0.2 megabytes for each second $t$ that passes. The slope (rate of change) of the linear - function is - 0.2.

Step2: Identify the initial value

At $t = 0$, the amount of data remaining $d$ is 5 megabytes. So the $y$-intercept (initial value) of the linear - function is 5.

Step3: Write the linear - function equation

The slope - intercept form of a linear function is $d=mt + b$, where $m$ is the slope and $b$ is the $y$-intercept. Substituting $m=-0.2$ and $b = 5$ into the equation, we get $d=-0.2t + 5$.

Answer:

$d=-0.2t + 5$