In Terms of y:
y = -(2)/(5x) + 40
y = (-2) + (5x)40
y = 200x - 2/5x
In Terms of x:
y = -(2)/(5x) + 40
y = (-2) + (5x)40/5x
y = -2 + 5x • 40/5x
x = - 2/5y - 200
Let's begin by listing out the information given to us:

We proceed to combine like terms (the coefficients having the same variable), we have:
Answer:
a) to determine how much Carl gets per hour, divide earnings by hours.
45 / 3 = 15
$15 per hour
b) Carl earns more per hour, because 15 is greater than 12.
Answer:
30
Step-by-step explanation:
The equation will be of the form:

where A is the amount after t hours, and r is the decay constant.
To find the value of r, we plug the given values into the equation, giving:

Rearranging and taking natural logs of both sides, we get:


The required model is: