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Slope Intercept Word Problems

Ashley Girardi

Created on November 27, 2024

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Transcript

Slope-Intercept Word Problems

Choose five topics below for your project:

Theme Parks

National parks

Cruise Ships

Driving

Running

NURSING

GATORS

Scuba Diving

Money

Art

National Parks

A national park begins with 50,000 trees. A park ranger then plants an additional 200 trees every year. a.) Write an equation in slope-intercept form that can predict how many total trees the national park has after x years have passed by.

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National Parks

b.) How many total trees will there be after 7 years?

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Running

Sam is training for a marathon. Currently, runs 10 miles on Friday. To build his long distance endurance, Sam plans to increase his Friday distance by 2 miles each week. a.) Write an equation in slope-intercept form that represents the total distance he runs on Friday after x weeks of training.

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Running

b.) How many miles does Sam run during the 8th week of his marathon training?

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Cruise Ships

A large cruise ship has 4200 passengers on board. When it returns to port, the passengers disembark at a rate of 825 passengers per hour. a.) Write in equation in slope-intercept form that represents how passengers are still on the ship after x hours of disembarking.

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Cruise Ships

b.) How many passengers are still on the cruise ship after 4 hours?

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Driving Distance

Ricky is going on a road trip and has alredy traveled 126 miles. His distance then increases at a steady rate of 55 miles per hour. a.) Write in equation in slope-intercept form that represents the total miles travled after x hours of driving.

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Driving Distance

b.) How many total miles has Ricky traveled if he's been driving for 1.5 hours?

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Theme Parks

When a theme park first opens, the wait time for a popular roller coaster is 10 minutes. The wait time then increases by 15 minutes for every hour the theme park is open.

a.) Write an equation in slope-intercept form that represents the total wait time for the coaster x hours after the park opened.

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Theme Parks

b.) How long is the roller coaster's wait time if the theme park has been open for 5 hours?

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Nursing

A nurse is administering medicine to a patient through an IV. The medicine comes in a 500 mL bag. The amount of medicine in the bag decreases at a rate of 30 mL every hour. a.) Write an equation in slope-intercept that represents the amount of medicine, in milliliters, remaining after x hours.

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Nursing

b.) How many milliliters of medicine are left in the IV bag after 6.5 hours?

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Alligators

A baby alligator grows at a rate of 2.5 inches each month. A biologist measured that it was 8.5 inches long at birth. a.) Write an equation in slope-intercept form to represent its length, in inches, after x months.

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Alligators

b.) How long is the baby alligator 10 months after it's born?

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Bank Accounts

Kayla has a savings account at her bank. Her current balance is $3,400. She then consistently withdraws $75 per week from her account. a.) Write an equation in slope-intercept form that represents how much money Kayla has left in her account after x weeks.

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Bank Accounts

b.) How much money does Kayla have in her account after 24 weeks?

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Scuba Diving

Juan is currently 35 feet below sea level. He begins to swim up towards the surface at a steady rate of 2.75 feet per minute.

a.) Write an equation in slope-intercept form that shows how many feet below sea level Juan is after x minutes of swimming.

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Scuba Diving

b.) How many feet below sea level is Juan after he swims towards the surface for 11 minutes?

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Art Class

Claire is taking art class as an elective this year. She already has 5 watercolor paintings in her sketch book. She then add 3 new paintings every week.

a.) Write an equation in slope-intercept form to represent how many total paintings Claire has after x weeks of school.

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Art Class

b.) Find the total number of paintings in Claire's sketch book after 18 weeks of school.

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