Answer:

Step-by-step explanation:
Let
x -----> the number of minutes
y ----> the balloon's height in feet
we know that
The linear equation in slope intercept form is equal to

where
m is the slope
b is the y-coordinate of the y-intercept
In this problem we have that
The slope is equal to
----> is negative because is a decreasing function

Remember that the y-intercept is the value of y when the value of x is equal to zero
In this context the y-intercept is the height of the balloon when the time is equal to zero (initial height)
substitute

Answer:
p = t * 12.5
Step-by-step explanation:
To find the relationship between hours of work and the pay, I divided the total paycheck given by the 25 hours of work, which got me what a 25th of that paycheck would be, which represents what you would earn in an hour with a flat rate.
312.50 / 25 = 12.5
Check:
12.5 * 25 (hours of work) = 312.50 (Given total paycheck)
That's how we know the pay per hour, which is the relationship between t and p.
Answer:
x equals 3.00cm
Step-by-step explanation:
Use Pythagoras' Theorem.
a = (14x-45)
b = (16x+27)
c = (25x)
Plug in the variables above into Pythagoras' Theorem that is, a^2+b^2=c^2.
Solve the resulting quadratic equation and reject the negative answer as length is always positive.
Answer:
7,200 words
Step-by-step explanation: