Find
R(V)
- p(x)×x
- x(-3/2x+112)
- -3/2x²+112x
Now
Find vertex x coordinate
Put in equation
- y=-3/2(-37.3)²+112(-37.3)
- y=-2086.9-84+4177.6
- y=$6264.6
- y=$62.64M
As a is negative parabola is facing downwards hence vertex is minimum .
So minimum value is $62M which is far more than given .
Answer:
let number of bags of popcorn = b
let number of drinks = d
at most = maximum
b + d ≤ 12
Answer:
$9.75
Step-by-step explanation:
To get from 4 to a dozen, you have to multiply by 3.
3.25 x 3 = 9.75
Step-by-step explanation:
y=-3+5x
substitute y into equation 2
3x-8y=24
3x-8(-3+5x)=24
3x+24-40x=24
x=0
y=-3+5(0)
y=-3
(x,y)=(0,3)
Questions (contd)
(a) For what amount of driving do the two plans cost the same?
(b) What is the cost when the two plans cost the same?
Answer:
(a) 100 miles
(b) $65
Step-by-step explanation:
Given
Plan 1:

per mile
Plan 2:

per mile
Solving (a): Number of miles when both plans are equal
Represent the distance with x and the cost with y
So:
Plan 1:

Plan 2:

To solve (a), we equate both plans together; i.e.


Collect Like Terms


Solve for x


Hence, 100 mile would cost both plans the same
Solving (b): Cost when both plans are the same:
In this case, we simply substitute 100 for x in any of the y equation.




<em>Hence, the amount is $65</em>