Answer: 2 cups
Step-by-step explanation: Olivia spends 4$ and nothing more. 1$ is her profit that can continue to gain and can be represented as 1x or x. x-4 is the equation to represent her profit. Nathan spends 5$ and 0.50$ is his profit which can be shown as 0.5x. 0.5x-5 is the equation to represent his profit.
Set those two equations equal to each other.
Isolate x.
Solve for x.
Since x represents the amount of cups sold, you cannot have a negative amount of cups sold. Therefore, Olivia and Nathan must sell 2 cups to make the same profit.
Answer: -3, -2/1 and negative
Step-by-step explanation:
y=mx+b
m is the slope and b is the y intercept
both of these are given
m=-2
b=-3
If you mark point (0,-3), your given y intercept, and use the given slope, -2, you can easily find your line, which declines going right.
For this case we have the following exponential function:
The first thing you should see for this case is the behavior of the function when you substitute values of x.
When replacing positive values (very large) the function tends to infinity because it is an exponential function.
When substituting negative values (very large) the function tends to zero because it is an exponential function.
Therefore, the range of the function is:
(0, ∞)
Equivalently:
y > 0
Answer:
all real numbers greater than 0
If X is 5
Then f(5) = 3(5) + 2
= 17