Answer:
Step-by-step explanation:
All we are doing here is solving for the b in
, which is the standard form for an exponential function.
Use the first 2 coordinate pairs to solve for b: (1, 6) and (2, 4):
so
and use that when you write the next equation using the next coordinate pair:
which simplifies to
4 = 6b so
, the second choice there. Another way of saying multiplicative rate is the rate of decay or the rate of growth. Same thing. This is decay since 2/3 is greater than 0 but less than 1.
The standard form of a line is an easy way to solve for the properties of a line, such as slope and the intercepts. Take a line with the equation in standard form,
Ax + By = C
The slope here is given by y = -A/B.
The x-intercept here is given by (C/A, 0).
The y-intercept here is given by (0, C/B).
For this problem, the equation is 2x + 4y = 12. Thus,
slope = -2/4 = -1/2
y-intercept = (0, 12/4) = (0, 3)
Answer:
b. 63 units
Step-by-step explanation:
The breakeven point occurs when the revenue is equal to the expenses. It means that the profit is 0. So, for the Basic model, the revenue is the sell less the costs: $41 - $15 = $26.For the Deluxe model, the revenue per unit is 0 ($45 - $45).
So, calling x the Basic model units, ad y the Deluxe model units, the total revenue will be: 26x, which must be equal to the expenses = $1,310.40:
26x = 1310.40
x = 50.4 units
y = x/4, because for 1 Deluxe model four Basic models are selled.
y = 50.4/4 = 12.6 units
The total units for breakeven point is 50.4 + 12.6 = 63 units.
Answer:
Step-by-step explanation:
The equation of line having slope 
and passing through 
.
