 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. 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