Question

Mrs. Long just got a new puppy! The puppy is learning how to run on hard wood floors. The puppy is running at a rate if 4 feet per second straight toward a wall that is 20 feet away. Select all that apply to this situation. The y-intercept is 4 ft since the puppy is running at a rate of 4 feet per second. The puppy will run into the wall after 5 seconds. The slope is -4 ft per second since the puppy is running at a rate of 4 ft per second. The y-intercept is 20 ft because the puppy is 20 feet away from the wall. The slope is 4 ft per second since this is how fast the puppy is running. I can choose multiple answers so Please HELP

Answer 1

Points apply to the given situation:

(a)The puppy will run into the wall after 5 seconds

(b)The slope is -4 ft per second since the puppy is running at a rate of 4 ft per second.

(c)The y-intercept is 20 ft because the puppy is 20 feet away from the wall.

Explanation:

We have given,

A puppy is running at a rate = 4 feet per second

A wall is 20 feet away from puppy. That means initially puppy is 20 feet away from the wall.

So, time taken by puppy to reach the wall =
`(Distance)/(rate)`

i.e. time take by puppy to reach the wall =
`(20)/(4)` = 5 seconds

Now we write the points that apply to this situation:

(a)The puppy will run into the wall after 5 seconds

(b)The slope is -4 ft per second since the puppy is running at a rate of 4 ft per second. {Since the puppy is moving towards the wall that means horizontal distance is decreasing at a rate of -4 feet per second}

(c)The y-intercept is 20 ft because the puppy is 20 feet away from the wall.