Answer:
q(p)= -3000p+12000
Step-by-step explanation:
For the function to be linear,
q(p)= mp + c
where
q(p): number of hamburgers sold
p: price per hamburger
m: gradient of the function
c: constant of the function
q(p)=6000 when p=2
6000=2m+c .................... equation I
0=4m+c
c=-4m........................ equation II
Substitute value of c in equation I
6000=2m-4m
m= -3000
c=12000
q(p)= -3000p+12000
R(x) is a polynomial. Thus, the domain is the same as the range.
Domain = range = ALL REAL NUMBERS.
We can also express the answer as
(-infinity, infinity).
Answer:
The number of miles traveled for x hours
Step-by-step explanation:
Answer:
a. 80km/hr
b. 8 dollars an hour
c. 30 passengers on one bus
d. 6 degrees a minute
Step-by-step explanation:
You want to divide these down to the smallest rate possible, so you divide.
480/6=80
80 km/hr
56/7=8
8 dollars and hour
270/9=30
30 passengers in one bus
54/9=6
6 degrees in one minute
Break-even is the point where the profit and expenses are balanced. At this point, the sum of the fixed cost and the variable cost should be equal with the total sales. Therefore,
FC + VC = S
FC = 1400 + 2000 + 1600 = 5000
VC = 3x
S = 5x
where x is the number of tickets.
5000 + 3x = 5x
x = 5000 / (5-3)
x = 2500 tickets should be sold
