Rate Of Change (Level 3 Word Problems) Problems

<p>Robert went on a hike.</p><ul><li>Robert started his journey at an elevation of `100` meters.</li><li>Then, he climbed steadily for `3` hours, increasing his elevation at the rate of `45` meters per hour. </li><li>He then descended at the rate of `65` meters per hour for the next `4` hours.</li></ul><p>Questions:</p><ul><li>What was Robert's elevation `3` hours after he started his journey?</li><li>What was Robert's elevation after the following `4` hours?</li></ul><p><highlight data-color="#666" data-style="italic">Round to the nearest hundredth if needed. </highlight></p>

<p>Jeanine’s balance at the start of the month in her bank account was `-$12.98`. She then spent `$5.23` per day for `3` days to get Starbucks. Then, she saved `$10` per day for `5` days.</p> <p>a. What was her balance after `3` days?</p><p>b. What was her balance after the following `5` days?</p><p>Round to the nearest hundredth if needed.</p>

<p>Mary kept track of the changes in her bank balance.</p><ul><li>Mary had an account balance total of `-$24.50` at the beginning of the month. </li><li>She added `$40` per day to her account for the following `12` days. </li><li>Then, for the next `7` days, she took out `$32` each day for travel expenses for work.</li></ul><p>Questions:</p><ul><li>What was her account balance for the next `12` days?</li><li>What was her account balance after the following `7` days?</li></ul><p><highlight data-color="#666" data-style="italic">Round to the nearest hundredth if needed. </highlight></p>

<p>Jasmine wanted to keep track of the balance in her account.</p><ul><li>Jasmine's balance at the start of the month was `$45`. </li><li>She added `$18` a day from her weekend work earnings into the account for `2` days. </li><li>Then, for the next `7` days, Jasmine spent `$13` each day on snacks and beverages from the school cafeteria.</li></ul><p>Questions:</p><ul><li>What was the balance of her account after `2` days?</li><li>What was the balance of her account after the next `7` days?</li></ul><p><highlight data-color="#666" data-style="italic">Round to the nearest hundredth if needed. </highlight></p>

<p>John got a new freezer delivered to his house and kept track of the temperature.</p><ul><li>The temperature inside the freezer was `12.2`°C. </li><li>John plugged in the freezer, and for the first `2` hours, the temperature inside the freezer dropped by `6`°C per hour. </li><li>John used the Quick Cool setting to get the freezer colder faster, which caused the temperature in the freezer to drop by `8`°C per hour for the next `3` hours.</li></ul><p>Questions:</p><ul><li>What was the temperature in the freezer after `2` hours?</li><li>What was the temperature in the freezer after the following `3` hours?</li></ul><p><highlight data-color="#666" data-style="italic">Round to the nearest hundredth if needed. </highlight></p>

<p>A submarine was used to study the ocean.</p><ul><li>The submarine started its journey at an elevation of `-300` feet </li><li>It traveled down for the next `4 1/2` hours at the steady rate of `25` feet per hour. </li><li>Then it started climbing up at a rate of `15` feet per hour for the following `3` hours.</li></ul><p>Questions: </p><ul><li>What was the elevation of the submarine `4 1/2` hours after it started its journey?</li> <li>What was the elevation of the submarine after `3` more hours?</li></ul><p><highlight data-color="#666" data-style="italic">Round to the nearest hundredth if needed. </highlight></p>

<p>A scientist uses a submarine to study ocean life. She begins at sea level. Then she travels down for `90` seconds at a speed of `7/2` feet per second. Then she travels directly up for `30` seconds at a speed of `2` feet per second.</p> <p>a. What was her elevation after `90` seconds?</p><p>b. What was her elevation after the following0 `30` seconds?</p><p>Round to the nearest hundredth if needed.</p>

<p>Tom traveled towards Desert Shores, California in his car.</p><ul><li>He started at an elevation of `170` meters.</li><li>His elevation decreased by `45` meters per hour for `2.5` hours. </li><li>He then descended further down `25` meters per hour for the next `3` hours until he reached Desert Shores.</li></ul><p>Questions:</p><ul><li>What was his elevation after `2.5` hours?</li><li>What was his elevation after the following `3` hours?</li></ul><p><highlight data-color="#666" data-style="italic">Round to the nearest hundredth if needed. </highlight></p>