# Rate Of Change (Level 3 Word Problems) Problems

8 questions

### #1 of 8:Mild

Rate of change (Level 3 word 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>

### #2 of 8:Medium

Rate of change (Level 3 word problems)

<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>

### #3 of 8:Medium

Rate of change (Level 3 word problems)

<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>

### #4 of 8:Medium

Rate of change (Level 3 word problems)

<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>

### #5 of 8:Medium

Rate of change (Level 3 word problems)

<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>

### #6 of 8:Spicy

Rate of change (Level 3 word problems)

<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>

### #7 of 8:Spicy

Rate of change (Level 3 word problems)

<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>

### #8 of 8:Spicy

Rate of change (Level 3 word problems)

<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>

Rate of change is the rate at which one quantity changes its rate with respect to the other quantity. . However, the average rate of change is the total change that occurred divided by the time taken. The distance travelled by the school in an hour can be calculated using the rate of change. The mathematical formula used to calculate rate of change: Change in quantity 1/ Change in quantity 2.

Show all
Signed Number Operations
7.NS.A.3

### What teachers are saying about BytelearnWhat teachers are saying

Stephen Abate
19-year math teacher
Carmel, CA
Any math teacher that I know would love to have access to ByteLearn.
Jennifer Maschino
4-year math teacher
Summerville, SC
“I love that ByteLearn helps reduce a teacher’s workload and engages students through an interactive digital interface.”
Rodolpho Loureiro
Dean, math program manager, principal
Miami, FL
“ByteLearn provides instant, customized feedback for students—a game-changer to the educational landscape.”

### What teachers are saying about BytelearnWhat teachers are saying

Stephen Abate
19-year math teacher
Carmel, CA
Any math teacher that I know would love to have access to ByteLearn.
Jennifer Maschino
4-year math teacher
Summerville, SC
“I love that ByteLearn helps reduce a teacher’s workload and engages students through an interactive digital interface.”
Rodolpho Loureiro
Dean, math program manager, principal
Miami, FL
“ByteLearn provides instant, customized feedback for students—a game-changer to the educational landscape.”