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

User Generated

Eboovaf

Mathematics

### 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. Student has agreed that all tutoring, explanations, and answers provided by the tutor will be used to help in the learning process and in accordance with Studypool's honor code & terms of service. 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 Jnyynpr U (1013)
University of Maryland Anonymous
Really helped me to better understand my coursework. Super recommended. Studypool 4.7 Trustpilot 4.5 Sitejabber 4.4