Question

It is currently 0 degrees outside, and the temperature is dropping 4 degrees every hour. The temperature after h hours is -4h. Explain what the equation -4h = -14 represents.

Answer 1

Answer:

$-4$ ⇒ Temperature dropping per hour

$h$ ⇒  Number of hours.

$-14$ ⇒ Temperature after 'h' hours

Step-by-step explanation:

Given:

Current temperature = 0 degrees

Temperature dropping per hour = -4 degrees.

Temperature after h hours = $-4h$

We need to explain what the equation $-4h = -14$ represents.

Solution:

Now we know that;

Temperature after h hours = $-4h$

Now we know that;

Current temperature is 0 degrees and temperature is decreasing at a rate of -4 degrees per hour so if we multiply -4 from h which number of hours it will show the temperature after h hours.

So we can say that;

-14 will be the temperature after 'h' hours in equation  $-4h = -14$.

where;

$-4$ ⇒ Temperature dropping per hour

$h$ ⇒  Number of hours.

$-14$ ⇒ Temperature after 'h' hours

Answer 2

Represents the number of hours that we must wait such that the temperature outside is equal to -14 degrees.

What the equation represents?

We know that currently is 0° outside, and each hour the temperature drops 4 degrees, then the temperature as a function of time is:

T(h) = 0° - 4°*h = -4h

Where h is the number of hours.

Then the linear equation:

-4h = -14

Represents the number of hours that we must wait such that the temperature outside is equal to -14 degrees.

Solving it we get:

h = -14/-4 = 3.5 hours.

If you want to learn more about linear equations, you can read:

https://brainly.com/question/1884491