olivia can complete 6 sprints per minute.write and solve a direct variation eqation to find how many sprints she can expect to complete in 25 minutes. i really need the answer
y = 6x
Insert value for x and solve.
To solve this problem, we need to use the concept of direct variation. Direct variation means that two variables are directly proportional to each other. In this case, Olivia's sprinting speed and the time it takes her to complete sprints are directly proportional.
Let's denote Olivia's sprinting speed as "sprints per minute" and the time it takes her to complete sprints as "minutes". We can set up an equation to represent this relationship:
sprints per minute = k * minutes
where k is a constant of variation.
Since Olivia can complete 6 sprints per minute, we can substitute the values into the equation to solve for k:
6 = k * 1
Divide both sides of the equation by 1 to solve for k:
k = 6/1 = 6
Now we have the equation:
sprints per minute = 6 * minutes
To find out how many sprints Olivia can expect to complete in 25 minutes, we substitute 25 for "minutes" in the equation:
sprints per minute = 6 * 25
Simplifying the equation, we get:
sprints per minute = 150
Therefore, Olivia can expect to complete 150 sprints in 25 minutes.
clearly, in x minutes she can do 6x sprints, right?
Of course, in the real world, there's little chance she can keep up the pace for 25 minutes!