As an estimate we are told 5 miles is 8km. Convert 80km to miles

A carpool service has 2,000 daily riders. A one-way ticket costs $5.00. The service estimates that for each $1.00 increase to th

solmaris [256]

Answer:

Total number of riders that ride on carpool daily = 2000

Total Cost of one way ticket = $ 5.00

Total Amount earned if 2000 passengers rides daily on carpool = 2000 × 5

= $10,000

If fare increases by $ 1.00

New fare = $5 + $1

= $6

Number of passengers riding on carpool = 2,000 - 100 = 1,900

If 1,900 passengers rides on carpool daily , total amount earned ,if cost of each ticket is $ 6 = 1900 × $6 = $11400

As we have to find the inequality which represents the values of x that would allow the carpool service to have revenue of at least $12,000.

For $ 1 increase in fare = (2,000 - 1 × 100) passengers

For $ x increase in fare, number of passengers = 2,000 - 100·x

= (2,000 - 100·x) passengers

New fare = 5 + x

New Fare × Final Number of passengers ≥ 12,000

(5+x)·(2,000 - 100 x) ≥ 12,000

5 (2,000 - 100 x) + x(2,000 - 100 x) ≥ 12,000

10,000 - 500 x + 2,000 x - 100 x² ≥ 12,000

100 - 5 x + 20 x - x² ≥ 120

- x² + 15 x +100 - 120 ≥ 0

-x² + 15 x -20 ≥ 0

x² - 15 x + 20 ≤ 0

⇒ x = 1.495

x ≥ $ 1.495, that is if we increase the fare by this amount or more than this the revenue will be at least 12,000 or more .

Also, f'(x) = 0 gives x = 7.5

⇒ The price of a one-way ticket that will maximize revenue is $7.50

7 0

3 years ago

??????????????????????????????????

lina2011 [118]

Answer:

2x + 4 I would assume

3 + 1 = 4

(combining like terms)

6 0

3 years ago

Read 2 more answers

Which statement about the following equation is true?

spayn [35]

The given expression is

$3x^2 -8x +5 = 5x^2$

We have to find the discriminant first . And for that, first we need to move whole terms of the left side to right side, that is

$5x^2 -3x^2 +8x -5=0$

$2x^2+ 8x -5 =0$

The formula of discriminant is

$D =b^2 -4ac$

Substituting the values of a,b and c, we will get

$D = 8^2 -4(2)(-5)=64+40 = 104$

And since the discriminant is greater than 0, or it is positive so we have two real roots.

Therefore the correct option is B .

7 0

3 years ago

Read 2 more answers

How are the solutions to the following two equations related m+5=72 <br> m+72=5

EastWind [94]

To see how they are related, let us solve the two equations.

FIRST EQUATION

$m + 5 = 72$

$\rightarrow \: m = 72 - 5$

$\rightarrow \: m = 67$

SECOND EQUATION

$m + 72 = 5$

$\rightarrow \: m = 5 - 72$

$\rightarrow \: m = - 67$

Hence the solutions to the two equations are ADDITIVE INVERSE of each other.

6 0

4 years ago

Os números 126e189 são divisores por 6 . Comprove está afirmação e mostre o cálculo!

andreev551 [17]

Answer:

zfghssfgnvfg

Step-by-step explanation:

cghgdfvv sscyhhffg asdfghjklppiutrwwazcb

4 0

3 years ago