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

label Algebra
account_circle Unassigned
schedule 1 Day
account_balance_wallet $5

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.

Jul 27th, 2014

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

Jul 27th, 2014

Studypool's Notebank makes it easy to buy and sell old notes, study guides, reviews, etc.
Click to visit
The Notebank
...
Jul 27th, 2014
...
Jul 27th, 2014
Oct 20th, 2017
check_circle
Mark as Final Answer
check_circle
Unmark as Final Answer
check_circle
Final Answer

Secure Information

Content will be erased after question is completed.

check_circle
Final Answer