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 $$\frac{a t m}{k m}$$ ?


<div id="id_cont_display" class="markdown-body editormd-html-preview"><textarea>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 $$\frac{a t m}{k m}$$ ?
</textarea>The water pressure on Mustafa as he dives is increasing at a rate of <math><semantics><mrow><mn>0</mn><mi mathvariant="normal">.</mi><mn>9</mn><mn>9</mn><mn>2</mn></mrow><annotation encoding="application/x-tex">0.992</annotation></semantics></math>0.992 atmospheres (atm) per meter <math><semantics><mrow><mo>(</mo><mrow><mi>m</mi></mrow><mo>)</mo></mrow><annotation encoding="application/x-tex">({m})</annotation></semantics></math>(m). What is the rate of increase in water pressure in <math><semantics><mrow><mfrac><mrow><mi>a</mi><mi>t</mi><mi>m</mi></mrow><mrow><mi>k</mi><mi>m</mi></mrow></mfrac></mrow><annotation encoding="application/x-tex">\frac{a t m}{k m}</annotation></semantics></math>​km​​atm​​ ?
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<div id="id_solution_display" class="markdown-body editormd-html-preview"><textarea> $$1 {~km}=1000 {~m}$$

$$0.992 {~atm} / {m}=\frac{0.992 {~atm}}{1 {~m}}=\frac{0.992 atm}{\frac{1}{1000} km} =0.992 \times 1000 \frac{{atm}}{{km}}$$

$$=992 {~atm} / {km}$$

</textarea> <math><semantics><mrow><mn>1</mn><mrow><mtext>&nbsp;</mtext><mi>k</mi><mi>m</mi></mrow><mo>=</mo><mn>1</mn><mn>0</mn><mn>0</mn><mn>0</mn><mrow><mtext>&nbsp;</mtext><mi>m</mi></mrow></mrow><annotation encoding="application/x-tex">1 {~km}=1000 {~m}</annotation></semantics></math>1&nbsp;km=1000&nbsp;m
<math><semantics><mrow><mn>0</mn><mi mathvariant="normal">.</mi><mn>9</mn><mn>9</mn><mn>2</mn><mrow><mtext>&nbsp;</mtext><mi>a</mi><mi>t</mi><mi>m</mi></mrow><mi mathvariant="normal">/</mi><mrow><mi>m</mi></mrow><mo>=</mo><mfrac><mrow><mn>0</mn><mi mathvariant="normal">.</mi><mn>9</mn><mn>9</mn><mn>2</mn><mrow><mtext>&nbsp;</mtext><mi>a</mi><mi>t</mi><mi>m</mi></mrow></mrow><mrow><mn>1</mn><mrow><mtext>&nbsp;</mtext><mi>m</mi></mrow></mrow></mfrac><mo>=</mo><mfrac><mrow><mn>0</mn><mi mathvariant="normal">.</mi><mn>9</mn><mn>9</mn><mn>2</mn><mi>a</mi><mi>t</mi><mi>m</mi></mrow><mrow><mfrac><mrow><mn>1</mn></mrow><mrow><mn>1</mn><mn>0</mn><mn>0</mn><mn>0</mn></mrow></mfrac><mi>k</mi><mi>m</mi></mrow></mfrac><mo>=</mo><mn>0</mn><mi mathvariant="normal">.</mi><mn>9</mn><mn>9</mn><mn>2</mn><mo>×</mo><mn>1</mn><mn>0</mn><mn>0</mn><mn>0</mn><mfrac><mrow><mrow><mi>a</mi><mi>t</mi><mi>m</mi></mrow></mrow><mrow><mrow><mi>k</mi><mi>m</mi></mrow></mrow></mfrac></mrow><annotation encoding="application/x-tex">0.992 {~atm} / {m}=\frac{0.992 {~atm}}{1 {~m}}=\frac{0.992 atm}{\frac{1}{1000} km} =0.992 \times 1000 \frac{{atm}}{{km}}</annotation></semantics></math>0.992&nbsp;atm/m=​1&nbsp;m​​0.992&nbsp;atm​​=​​1000​​1​​km​​0.992atm​​=0.992×1000​km​​atm​​
<math><semantics><mrow><mo>=</mo><mn>9</mn><mn>9</mn><mn>2</mn><mrow><mtext>&nbsp;</mtext><mi>a</mi><mi>t</mi><mi>m</mi></mrow><mi mathvariant="normal">/</mi><mrow><mi>k</mi><mi>m</mi></mrow></mrow><annotation encoding="application/x-tex">=992 {~atm} / {km}</annotation></semantics></math>=992&nbsp;atm/km
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