Writing Slope-Intercept Equations
Watch this lecture series and complete the interactive exercises to learn how to write an equation of a line in slope-intercept form.
Writing linear equations word problems - Questions
1. Simba Travel Agency arranges trips for climbing Mount Kilimanjaro. For each trip, they charge an initial fee of in addition to a constant fee for each vertical meter climbed. For instance, the total fee for climbing to the Shira Volcanic Cone, which is meters above the base of the mountain, is .
Let represent the total fee (in dollars) of a trip where they climbed vertical meters.
Complete the equation for the relationship between the total fee and vertical distance.
2. Rachel is a stunt driver. One time, during a gig where she escaped from a building about to explode(!), she drove to get to the safe zone at meters per second. After seconds of driving, she was meters away from the safe zone.
Let represent the distance (in meters) from the safe zone after seconds.
Complete the equation for the relationship between the distance and number of seconds.
3. Carolina is mowing lawns for a summer job. For every mowing job, she charges an initial fee plus for each hour of work. Her total fee for a -hour job, for instance, is .
Let represent Carolina's fee (in dollars) for a single job that took hours for her to complete.
Complete the equation for the relationship between the fee and number of hours.
4. Kayden is a stunt driver. One time, during a gig where she escaped from a building about to explode(!), she drove at a constant speed to get to the safe zone that was meters away. After seconds of driving, she was meters away from the safe zone.
Let represent the distance (in meters) from the safe zone after seconds.
Complete the equation for the relationship between the distance and number of seconds.