Ahot air balloon descends from an altitude of 2,000 feet at a constant rate of 90 feet per minute. the graph shows the altitude of the balloon over time. write a linear function in the form y = mx + b to represent the situation.

y=90x+2,000

Step-by-step explanation:

90 is the rate of change because the hot air balloon descends 90 feet per minute.

And 2,000 is the starting point because the hot air balloon started the descent at 2,000 feet.

Step-by-step explanation:

Given the linear function in the form

We are going to represent the situation using the linear function.

We are going to call the variable ''x'' time. We can write x = t ⇒

will be the altitude function that depends on the variable ''t'' that is time in minutes.

In the instant the hot air balloon has an altitude of 2000 feet ⇒

⇒

We can think that the slope ''m'' is the constant rate of the function.

Given that the hot air balloon descends, ⇒

Now we write the function :

For example, when t = 0 ⇒

Or if we want to find the time when the hot air balloon finally descends :

the smallest possible measurement of the width is 14 feet

step-by-step explanation:

let's assume length of parallelogram is 'l'

width of parallelogram is 'w'

the perimeter of a parallelogram must be no less than 40 feet

so, we get

we are given

length of parallelogram is 6 feet

so,

l=6

we can plug it

now, we can solve for w

subtract both sides by 12

divide both sides by 2

and we get

so,

the smallest possible measurement of the width is 14 feet