Mathematics
After 3 minutes an ant traveled 110 meters and after 8 minutes the ant

Question Description

After 3 minutes an ant traveled 110 meters and after 8 minutes the ant will have traveled 235 meters. Assuming a linear equation can be used to model the change in distance traveled over time between 3 and 8 minutes. Write in slope-intercept form.

Final Answer

Let  'x' represent the time in minutes  and 'y' represent the distance in meters.  Use this concept to get your ordered pairs.

            "After 3 minutes, an ant traveled 110 meters"  >>>>>   (x, y) = (3, 110)

            "After 8 minutes, the ant will have traveled 235 meters"   >>>>>>  (x, y) = (8, 235)

Calculate the slope  {Let  (x1, y1) = (3, 110)   and  (x2, y2) = (8, 235) for using the slope formula}

                                     m = (y2 - y1)/(x2 - x1)             <Slope Formula>

                                     m = (235 - 110)/(8 - 3)

                                     m =  125/5

                                     m = 25

Substitute the slope and one of your ordered pairs into the Slope-Intercept form.   {For instance, I will use the first ordered pair (x, y) = (3, 110) where x = 3 and y = 110}

                                     y = mx + b                         <Slope-Intercept Form>

                                  110 = (25)(3) + b              Substitute the slope and one of your ordered pairs

                                  110 = 75 + b                         Solve for 'b', the y-intercept value

                                  110 = 75 + b

                                   -75    -75

                                   35 = b

                                    b = 35

With the slope 'm' and y-intercept 'b' known, we can simply start back to the slope intercept form again and only substitute these values (leave x and y as they are).  This will get you your equation in Slope-Intercept form.

                                   y = mx + b                  <Slope-Intercept form>

                                   y = 25x + 35               Only substitute the values of m and b to get your equation


SOLUTION:           y = 25x + 35

Wallace H (1013)
University of Maryland

Anonymous
Solid work, thanks.

Anonymous
The tutor was great. I’m satisfied with the service.

Anonymous
Goes above and beyond expectations !

Studypool
4.7
Trustpilot
4.5
Sitejabber
4.4

Brown University





1271 Tutors

California Institute of Technology




2131 Tutors

Carnegie Mellon University




982 Tutors

Columbia University





1256 Tutors

Dartmouth University





2113 Tutors

Emory University





2279 Tutors

Harvard University





599 Tutors

Massachusetts Institute of Technology



2319 Tutors

New York University





1645 Tutors

Notre Dam University





1911 Tutors

Oklahoma University





2122 Tutors

Pennsylvania State University





932 Tutors

Princeton University





1211 Tutors

Stanford University





983 Tutors

University of California





1282 Tutors

Oxford University





123 Tutors

Yale University





2325 Tutors