Question

There is a relationship between the frequency of data transmission $\left(z\right)$ and the range of the drone $\left(d\right)$; the higher the data transmission frequency, the lower is the range of the drone.

Frequency of data transmission ($z$) (in Ghz)	$5$	$10$	$0.5$
Range $\left(d\right)$ (in miles)	$5$	$2.5$	$50$

Identify the equation that defines the relation between $\left(d\right)$ and $\left(z\right)$.

• A. $d=25÷z$
• B. $d=20÷z$
• C. $25d=z$
• D. $d=25z$

Answer 1

The correct option is A $d=25÷z$

To find which option defines the correct relationship between data transmission $\left(z\right)$ and the range of the drone $\left(d\right)$, we will substitute the value of $z$ given in the table to find $d$ from the equation. Then, we will match it with the correct value of $d$ from the table.

Option A:
Equation: $d=25z$
When $z=5$,
$d=25\times 5$
$d=125$
But the value of $d$ from the table is $5$.
Option A is incorrect.

Option B:
Equation: $d=20÷z$
When $z=5$,
$d=20÷5$
$d=4$
But the value of $d$ from the table is $5$.
Option B is incorrect.

Option C:
Equation: $d=25÷z$
When $z=5$,
$d=25÷5$
$d=5$

When $z=10$
$d=25÷10$
$d=2.5$

When $z=0.5$,
$d=25÷0.5$
$d=50$
Option C is correct


Option D
Equation: $25d=z$
When $z=5$,
$25d=5$
$d=5÷25$ (dividing both sides by $25$)
$d=\frac{1}{5}$
But the value of $d$ from the table is $4$.
Option D is incorrect.