Question

sound travels at approximately one - fifth of a mile per second. therefore, the difference in time, x (in seconds), between seeing lightning and hearing thunder can be used to estimate the distance y (in miles) between a storm and an observer. the distance of the storm can be approximated by the equation y = 0.2x, where x≥0.
part 1 of 2
(a) use the linear model to determine the distance between a storm and an observer for the following times between seeing lightning and hearing thunder: 5 sec, 10 sec, and 15 sec.
the distance between a storm and an observer, if the time between seeing lightning and hearing thunder is 5 sec, is 1 mi.
the distance between a storm and an observer, if the time between seeing lightning and hearing thunder is 10 sec, is 2 mi.
the distance between a storm and an observer, if the time between seeing lightning and hearing thunder is 15 sec, is 3 mi.
part 2 of 2
(b) if a storm is 4.2 mi away, how many seconds will pass between seeing lightning and hearing thunder?
if a storm is 4.2 mi away, seconds will pass between seeing lightning and hearing thunder.

Explanation:

Step1: Identify the formula

The formula is $y = 0.2x$, where $y$ is the distance and $x$ is the time.

Step2: Solve for $x$ when $y = 4.2$

We need to find $x$ from the formula. Rearranging the formula for $x$ gives $x=\frac{y}{0.2}$.

Step3: Substitute $y = 4.2$ into the formula

$x=\frac{4.2}{0.2}=21$.

Answer:

21