Answer:
a. Earnings of Enguun for 12 hours this month (G)
G = 204 dollars
b. Earnings of Enguun for 19.5 hours last month (G)
G = 331.5 dollars
Step-by-step explanation:
Nomenclature
G: Total earnings of Enguun in dollars
E: Enguun's earnings for 1 hour of tutoring (dollars/hour)
n: number of hours that Enguun tutored per month (hour/month)
Formula
G = E*n
E = $17 per hour = 17 dollars/hour
Problem development
a. Earnings of Enguun for 12 hours this month
n = 12 hours
G = E*n
: We eliminate hours
G = 204 dollars
b. Earnings of Enguun for 19.5 hours last month
G = E*n
G = 17 * 19.5
G = 331.5 dollars
Answer:
Step-by-step explanation:
I'm sure you want your functions to appear as perfectly formed as possible so that others can help you. f(x) = 4(2)x should be written with the " ^ " sign to denote exponentation: f(x) = 4(2)^x
f(b) - f(a)
The formula for "average rate of change" is a.r.c. = --------------
b - a
change in function value
This is equivalent to ---------------------------------------
change in x value
For Section A: x changes from 1 to 2 and the function changes from 4(2)^1 to 4(2)^2: 8 to 16. Thus, "change in function value" is 8 for a 1-unit change in x from 1 to 2. Thus, in this Section, the a.r.c. is:
8
------ = 8 units (Section A)
1
Section B: x changes from 3 to 4, a net change of 1 unit: f(x) changes from
4(2)^3 to 4(2)^4, or 32 to 256, a net change of 224 units. Thus, the a.r.c. is
224 units
----------------- = 224 units (Section B)
1 unit
The a.r.c for Section B is 28 times greater than the a.r.c. for Section A.
This change in outcome is so great because the function f(x) is an exponential function; as x increases in unit steps, the function increases much faster (we say "exponentially").
C = 16h
This is the basic set up of a cost function which is a direct correlation.
Answer:
ok
Step-by-step explanation:
Answer:
3/4
Step-by-step explanation:
1/2 the deck is red cards.
1/4 of the deck is spades.
There are no spades that are red cards, so the probability of drawing a red card or a spade at random from a well-shuffled deck is ...
1/2 + 1/4 = 3/4
