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The water pressure on Mustafa as he dives is increasing at a rate of 0.992 atmospheres (atm) per meter
(m).
What is the rate of increase in water pressure in
(atm)/(km) ?

(atm)/(km)

The water pressure on Mustafa as he dives is increasing at a rate of $0$ . $992$ atmospheres (atm) per meter $(\mathrm{m})$ . $\newline$ What is the rate of increase in water pressure in $\frac{\mathrm{atm}}{\mathrm{km}}$ ? $\newline$ $\square$ $\frac{\mathrm{atm}}{\mathrm{km}}$

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Convert rates and measurements: customary units

Full solution

Q. The water pressure on Mustafa as he dives is increasing at a rate of

0

.

992

atmospheres (atm) per meter

(\mathrm{m})

.

\newline

What is the rate of increase in water pressure in

\frac{\mathrm{atm}}{\mathrm{km}}

?

\newline

\square

\frac{\mathrm{atm}}{\mathrm{km}}

Convert to kilometers: Convert the rate of increase from meters to kilometers. $\newline$ Since there are $1,000$ meters in a kilometer, we need to multiply the rate per meter by $1,000$ to find the rate per kilometer. $\newline$ $0.992 \, \text{atm}/\text{m} \times 1,000 \, \text{m}/\text{km} = 992 \, \text{atm}/\text{km}$
Check calculation: Check the calculation for any mathematical errors. $\newline$ Multiplying $0.992$ by $1,000$ should shift the decimal point three places to the right, resulting in $992$ . $\newline$ $0.992 \times 1,000 = 992$ $\newline$ This confirms that the calculation in Step $1$ is correct.

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