Writing Slope-Intercept Equations

1. Simba Travel Agency arranges trips for climbing Mount Kilimanjaro. For each trip, they charge an initial fee of $$100$ in addition to a constant fee for each vertical meter climbed. For instance, the total fee for climbing to the Shira Volcanic Cone, which is $3000$ meters above the base of the mountain, is $$400$.

Let $y$ represent the total fee (in dollars) of a trip where they climbed $x$ vertical meters.

Complete the equation for the relationship between the total fee and vertical distance.

$y = \text { ______ }$

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 $24$ meters per second. After $4$ seconds of driving, she was $70$ meters away from the safe zone.

Let $y$ represent the distance (in meters) from the safe zone after $x$ seconds.

Complete the equation for the relationship between the distance and number of seconds.

$y = \text { ______ }$

3. Carolina is mowing lawns for a summer job. For every mowing job, she charges an initial fee plus $$6$ for each hour of work. Her total fee for a $4$-hour job, for instance, is $$32$.

Let $y$ represent Carolina's fee (in dollars) for a single job that took $x$ hours for her to complete.

Complete the equation for the relationship between the fee and number of hours.

$y = \text { ______ }$

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 $160$ meters away. After $3$ seconds of driving, she was $85$ meters away from the safe zone.

Let $y$ represent the distance (in meters) from the safe zone after $x$ seconds.

Complete the equation for the relationship between the distance and number of seconds.

$y = \text { ______ }$