Question

Nala is escaping from the dragon's lair! She is running toward the entrance of the lair at a speed of 9.29.29, point, 2 meters per second. The entrance is 180180180 meters away.
The distance ddd between Nala and the entrance of the lair is a function of ttt, the time in seconds since Nala began running.

Answer 1

Answer:

The function would be,

$d(t) = 180 - 9.29t$

Step-by-step explanation:

Given,

The total distance between starting point to entrance= 180 meters,

Speed = 9.29 meter per sec,

Since, Distance = speed × time,

So, the distance covered in t seconds = 9.29t meters,

Thus, the remaining distance after t seconds from starting point to entrance, say d(t) = total distance - covered distance in t seconds

$\implies d(t) = 180 - 9.29t$

Which is the required function.

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Answer 2

Answer:

d = -9.2 + 180

Step-by-step explanation:

Nala's speed is constant, so we're dealing with a linear relationship.

We could write the desired formula in slope-intercept form: d = mt + b. In this form, m gives us the slope of the graph of the function and b gives us the y-intercept. Our goal is to find the values of m and b and substitute them into this formula.

We know that for each second Nala runs, the distance between her and the entrance decreases by 9.2 meters, so the slope m is -9.2, and our function looks like d = -9.2 + b.

We also know that Nala is 180 meters away from the entrance initially, so the y-intercept b is 180.

Since m = -9.2 and b = 18-, the desired formula is:

d = -9.2t + 180