A. Total Revenue (R) is equal to price per dive (P) multiplied by number of customers (C). We can write 
.
Per price increase is $20. So four price increase is $
. Hence, price per dive is 100+80=$180.
Also per price increase, 2 customers are reduced from 30. For 4 price increases, 
customers are reduced. Hence, total customers is 
.
So Total Revenue is:
B. Each price increase is 20. So x price increase is 20x. Hence, new price per dive would be equal to the sum of 100 and 20x.
Also per price increase, customers decrease by 2. So per x price increases, the customer decrease is 2x. Hence, new number of customers is the difference of 30 and 2x.
Therefor we can write the quadratic equation for total revenue as the new price times the new number of customers.
C. We are looking for the point (x) at which the equation modeled in part (B) gives a maximum value of revenue (y). That x value is given as 
, where a is the coefficient of 
and b is the coefficient of x. So we have,
That means, the greatest revenue is achieved after 5 price increases. Each price increase was 20, so 5 price increase would be 
. So the price that gives the greatest revenue is 
.
ANSWERS:
A. $3960
B. 
C. $200
Rate of change is also knkown as slope which is found by
=slope if you know 2 points/ordered pairs
aos, if x incheases while y decreases then slope is negative
when x increases while y increases then slpe if positive
also, if you can convert to y=mx+b, m=slope
another thing if you have ax+by=c then slope=-a/b
so first one
2x-5y=15
a=2
b=-5
-2/-5=2/5
slope=2/5
positive
next
y=-4x
-4 =slope=negative
x increases while y decreases
negative
x increases while y decreases
negative
so
Positive
Negative
Negative
Negative
A. 6x-3y=12
sloope=-6/-3=2
B. y=5x+b
slope=5
C. (8-2)/(3-1)=6/2=3
sloope=3
D. goes up 4 units and goes right 1 unit, 4/1=4
sloope=4
5 is greates
B is the answer
A. (6-3)/(4-3)=3/1=3
slope=3
B. y=4+6x
slope=6
C.12x+6y=18
slope=-12/6=-2
D. goes down 5 units as it goest 1 uniit to right aka -5./1
slope=-5
greatest is 6
B is answer
the starting value I would guess si when x=1 what is the greats y value
look at each
first one
A. x=1 and =-3
B.y=3x-8
y=3(1)-8
y=3-8
y=-5
C. 8x+4y=16
8(1)+4y=16
8+4y=16
4y=8
y=2
D. at 1 unit to right it is 1 nit up so y=1
greatest is 2 or C
so just subsitute 1 for x since x represents how many teaspoons
y=16(1)560
y=16+560
y=576 caloris for 1 sugar teaspoon
for honey, just read off the graph
for when x=1
y=504
so calores of sugar=576
calories in honey=504
ANSWERS
Postive
Negative
Negative
Negative
B
B
C
sugar=576
honey=504
Answer:
640 yard²
Step-by-step explanation:
From the question,
The surface are of a triangular prism is given as
A = bh+2ls+lb.................. Equation 1
Where A = Surface area of the triangular prism, b = base of of the triangular face, h = height of the triangular face, l = length of the triangular prism, s = length of one of the other sides of the triangle
Given: l = 17 yards, b = 12 yards, h = 8 yards, s = 10 yards.
Substitute these values into equation 1
A = [(12×8)+(2×17×10)+(17×12)]
A = 96+340+204
A = 640 Yard²
Answer:
A landscape architect recommends installing a triangular statue with
vertices at (10, −10), (10, −8), and (7, −10).
a. Is the triangle congruent to triangle T ? Justify your answer.
b. Propose a series of rigid motions that justifies your answer to part a.
6. Another landscape architect recommends installing a triangular statue
Step-by-step explanation:A landscape architect recommends installing a triangular statue with
vertices at (10, −10), (10, −8), and (7, −10).
a. Is the triangle congruent to triangle T ? Justify your answer.
b. Propose a series of rigid motions that justifies your answer to part a.
6. Another landscape architect recommends installing a triangular statue
Answer:
B its 4 7/8 --------------
