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.

\( y = \text { ______ } \)