The distance (d) in meters that an ant can travel varies directly with the amount of time (t) in hours it spends walking. Assume that an ant’s constant of proportionality is 18.
Write an equation to represent the proportional relationship between d and t using the information given.
*My answer d=18t*
If an ant walks for 10 minutes, how far will it travel?
*My answer 180 meters*
If an ant traveled 22.5 meters, how long did it walk?
*My answer ??? hours
Posted this with more info..
d = 18 t
d is in meters BUT t is in HOURS
ten minutes is 10/60 = 1/6 hour !
d = 18 * 1/6 = 3 meters !!!!
22.5 meters = 18 t
t = 22.5 / 18 HOURS
which is (22.5/18) 60 = 17 MINUTES
CAREFUL about UNITS !!!!
To represent the proportional relationship between the distance traveled (d) by the ant in meters and the time spent walking (t) in hours, you can use the formula:
d = k * t
Where "k" represents the constant of proportionality.
Since the constant of proportionality is given as 18, you can substitute it into the equation, giving:
d = 18t
For the second question, if an ant walks for 10 minutes, you need to convert the time to hours before substituting it into the equation:
10 minutes = 10/60 = 1/6 hours
Now, you can substitute the value of time into the equation:
d = 18 * (1/6)
d = 3 meters
So if the ant walks for 10 minutes, it will travel a distance of 3 meters.
For the third question, if the ant traveled 22.5 meters, you can rearrange the equation to solve for the time spent walking:
d = 18t
22.5 = 18t
Now solve for "t":
t = 22.5 / 18
t = 1.25 hours
So if the ant traveled 22.5 meters, it means it walked for 1.25 hours.