Rate Of Change (Level 1 Word Problems) Problems

<p>A scuba diver's lowest elevation was `-143` feet. Then, they rose `50` feet per minute.</p> <p>What was their elevation after `2.3` minutes?</p>

<p>The elevation at ground level is `0` feet. An elevator starts at an elevation of `-110` feet. After traveling for `20` seconds, the elevator’s elevation is `-15` feet. </p> <p>What was the average change in the elevator’s elevation every second during this `20`-second interval?</p>

<p>Mr. Joyce had `-$540` in his bank account at the start of 2015. Since then he kept on depositing money to his account, and after `6` years his balance went up to `$69500`.</p> <p> How much money did he deposit to the account per year on an average.</p>

Ali has an aquarium with a water depth of 16 inches. He noticed that after 10 days, some of the water had evaporated, and the depth was 13.5 inches. What is the average rate of change in the water level per day?

<p>A science experiment requires a liquid to be heated up, and then cooled off again. At the start of the experiment, the temperature of the liquid is `-14`°F. The scientist then increases the temperature of the liquid by `7.9`°F per minute for `3.5` minutes. Then, the scientist decreases the temperature of the liquid by `6`°F per minute for `2` minutes.</p><p>a. What was the temperature after `3.5` minutes?</p><p>b. What was the temperature after the following `2` minutes?</p><p>Round to the nearest hundredth if needed.</p>

<p>A science experiment requires heating a liquid solution, adding salt, and then heating the new solution at a different rate. At the start of the experiment, the temperature of the liquid solution was `-18`°C. The liquid solution’s temperature was increased at a speed of `4.2`°C per second for `4` seconds. After adding the salt, the new liquid solution’s temperature was increased for `11.2` seconds at a rate of `6`°C per second.</p><p>a. What was the solution’s temperature after `4` seconds?</p><p>b. What was the solution’s temperature after the following `11.2` seconds?</p><p>Round to the nearest hundredth if needed.</p>

<p>Bruno was an explorer who had climbed a mountain. </p><ul><li>His climb began from the base camp at the foot of the mountain, where the mountain temperature was `5` °C. </li> <li>After he climbed up for `4` hours, the temperature decreased at a steady rate of `2.5` °C per hour. </li> <li> Then, Bruno reached a temperature inversion zone, and the temperature increased at a rate of `1.5` °C per hour for `2` hours.</li></ul><p>Questions:</p><ul><li>What was the temperature after `4` hours?</li><li> What was the mountain's temperature after the following `2` hours?</li></ul><p><highlight data-color="#666" data-style="italic">Round to the nearest hundredth if needed. </highlight></p>