According to the statement, the variable to be modelled is the depth of the hole, which decreases whereas is filled. Under the assumption that the hole is filled at constant rate, we obtain the following expression:

$h(t) = h_{o}-\frac{\Delta h}{\Delta t}\cdot t$ (1)

Where:

$h(t)$ - Current depth of the hole, measured in inches.

$h_{o}$ - Initial depth of the hole, measured in inches.

$\Delta h$ - Filled level, measured in inches.

$\Delta t$ - Filling time, measured in hours.

$t$ - Time, measured in hours.

If we know that $h_{o} = 24\,in$ , $\Delta h = 6\,in$ and $\Delta t = 0.5\,h$ , then the function that models the depth of the hole is:

$h(t) = 24 - 12\cdot t$

The function that models the depth of the hole in feet over time in hours is $h(t) = 24 - 12\cdot t$ .

6 0

3 years ago

Can whole numbers be rational numbers

yKpoI14uk [10]

Use this diagram, it might help.

From the inside, whatever that layer is, it can be any of the layers outside of it.

All whole numbers can be a rational number, but not all rational numbers be a whole number.

Kind of like all squares can be rectangles, but not all rectangles can be a square.

The whole number has all the attributes of a rational number, but not all rational numbers have all of the attributes of a whole number.

6 0

3 years ago

Which number complete the inequality​

Which number complete the inequality