Which is the best description of the graph of the function f(x) = 60(One-third)x? The graph has an initial value of 20, and each
successive term is determined by subtracting One-third. The graph has an initial value of 20, and each successive term is determined by multiplying by One-third. The graph has an initial value of 60, and each successive term is determined by subtracting One-third. The graph has an initial value of 60, and each successive term is determined by multiplying by One-third.
2 answers:
Answer:
The graph has an initial value of 60, and each successive term is determined by multiplying by One-third.
Step-by-step explanation:
Which is the best description of the graph of the function f(x) = 60(One-third)x?
A. The graph has an initial value of 20, and each successive term is determined by subtracting One-third.
B. The graph has an initial value of 20, and each successive term is determined by multiplying by One-third.
C. The graph has an initial value of 60, and each successive term is determined by subtracting One-third.
D. The graph has an initial value of 60, and each successive term is determined by multiplying by One-third.
Given:
f(x) = 60 (1/3)^x see graph attached.
Examining the graph, we notice that
1. The graph has an initial value of 60, at point (0,60)
2. The graph decreases as x increases. Each successive term is determined by multiplying by 1/3, namely in the sequence
{(0,60), (1,20), (2, 20/3), (3, 20/9), ...}
This means the choice is D (or the fourth one).
You might be interested in
Answer:
a.
b.
E of first can =
E of second can =
c. Yes
Step-by-step explanation:
The efficiency ratio is:
E = Surface Area / Volume
a.
We can write:
Where
S is surface area of cylinder
V is volume of cylinder
The formulas are:
S =
V =
So, the <u>efficiency ratio (E) </u>is:
b.
The first can has radius "r" and height "h", so the efficiency ratio is:
The second can has same height, "h", and twice radius, "2r", so the efficiency ratio becomes:
c.
We now need to say if the company made a good decision or not.
If you look at both the Efficiency ratios above, you will see that the difference is in the numerator.
The first can has "2h"
The second can has "h"
The "2h" makes the numerator for the first can BIGGER than the "h" of the second can, so the Efficiency ratio of first can is thus, BIGGER.
We need smaller ratio.
So, 2nd can has indeed smaller ratio, so the company made a good decision.
Answer:
Step-by-step explanation:
Linear function:
A linear function has the following format:
In which m is the slope and b is the q-intercept.
One week you charged $4 per guest and averaged 80 guests per night. The next week you charged $10 per guest and averaged 44 guests per night.
This means that we have these following points: (4,80), (10,44).
Finding the slope:
With a pair of points, the slope is given by the change in q divided by the change in p.
Change in q: 44 - 80 = -36
Change in p: 10 - 4 = 6
Slope:
So
Finding b:
We replace one of the points. Replacing (4,80).
So