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Aleksandr [31]
2 years ago
10

The cost per year to lease a coffee shop in downtown Austin varies directly with the size of the shop. If a 1,425 square foot sh

op costs $45,600 to lease for the year, how expensive is it to lease a shop that is 1,820 square feet?
Lease Price=?

Direct Variation
Mathematics
2 answers:
Serhud [2]2 years ago
7 0

Answer:

58240

Step-by-step explanation:

from 1,425 to get to 45,600 you multiply it by 32

1,820 times 32 is 58240

Marina86 [1]2 years ago
7 0
8=(k)*15 ; k= 8/15 ; 16inches
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If a car is going 100 mph how long will it take to go 1,045 miles
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What will be the sum of an integer and its additive inverse​
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0

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3 years ago
Revenue from Monorail Service, Las Vegas In 2005 the Las Vegas monorail charged $3 per ride and had an average ridership of abou
Karolina [17]

Answer:

A)The required linear demand equation ( q ) = -4500p + 41500

B) $4.61

   $95680.55

C) No it would not have been possible by charging a suitable price

Step-by-step explanation:

<u>A)  find the linear demand equation</u>

given two points ; ( 3, 28000 ) and ( 5, 19000 )

slope ( m ) = ( y2 - y1 ) / ( x2 - x1 )

                 = ( 19000 - 28000 ) / ( 5 - 3 )  = -4500

slope intercept is represented as ; y = mx + b

where y( 28000) = -4500(3) + b

  hence b = 41500  

hence ; y = -4500x + 41500

The required linear demand equation ( q ) = -4500p + 41500   ----- ( 1 )

p = price per ride

<u>B ) Determine the price the company should charge to maximize revenue from ridership  and corresponding daily revenue</u>

Total revenue ( R ) = qp

                               = p ( -4500p + 41500 )

  hence R = -4500p^2 + 41500p  ------ ( 2 )

To determine the price that should maximize revenue from ridership we will equate R = -4500p^2 + 41500p  to a quadratic equation R(p) = ap^2 + bp + c

where a = -4500 ,  b = 41500 , c = 0

hence p = -\frac{b}{2a}  = - \frac{41500}{2(-4500)} =  4.61

$4.61 is the price the company should charge to maximize revenue from ridership

corresponding daily revenue = R = -4500p^2 + 41500 p

where p = $4.61

hence R = -4500(4.61 )^2 + 41500(4.61) = $95680.55

C) No it would not have been possible by charging a suitable price

5 0
3 years ago
Match these together
MrMuchimi
1. C
2. A
3. B
3. D

Hope this helps
6 0
3 years ago
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