All categories

2 years ago

A commuter railway has 800 passengers a day and charges each one 2 dollars. ?

Mathematics

1 answer:

Fiesta28 [93]2 years ago

4 0

Answer:

I= -20p^2 + 840p

Step-by-step explanation:

When the ticket price is $2 there are 800 passengers daily, but every $0.1 increase in ticket price the number of passengers will be decreased by 2.

You can put information into these equations of:

passenger- = (800-2x)

ticket price= p = $2 + 0.1x

Income is calculated by multiplying the number of the passenger with the ticket price. The answer will be expressed in terms of the ticket price, so we need to remove x from the passenger equation.

p= $2 +0.1x

p-$2 = 0.1x

x= 10p- $20

If p= ticket price, the function for the number of passengers it will be:

passenger = (800-2x)

passenger = 800- 2(10p- $20)

passenger =800- 20p+40

passenger =840- 20p

The function of I will be:

I= passenger x ticket price

I= 840- 20p * p

I= -20p^2 + 840p

You might be interested in

a group of 12 adults and 26 children go to a theme park . The total costs of the tickets was £1804.80. An adults ticket costs 51

nadya68 [22]

Answer:

The cost of a ticket for a child is £45.6

Step-by-step explanation:

- A group of 12 adults and 26 children go to a theme park

- The total costs of the tickets was £1804.8

- An adults ticket costs £51.6

- We need to find the cost of a ticket for a child

- Assume that the price of a ticket for a child is £x

∵ The group has 26 children

∴ The cost of children tickets = 26 × (x)

∵ The group has 12 adults

∵ The cost of the adult ticket = £51.6

∴ The cost of adult tickets = 12 × 51.6

∵ The total cost of tickets = 26 × (x) + 12 × 51.6

∴ The total cost of tickets = 26 x + 619.2

∵ The total costs of the tickets was £1804.8

- Equate the two expressions of the total cost

∴ 26 x + 619.2 = 1804.8

- Subtract 619.2 from both sides

∴ 26 x = 1185.6

- Divide both sides by 26

∴ x = 45.6

* The cost of a ticket for a child is £45.6

6 0

2 years ago

Read 2 more answers

Zack borrowed $1,087 for 12 months at 11% interest. if he must pay 11.00 per $100, what is the total amount of money he will rep

Naddika [18.5K]

Answer:

The correct option is d.

Step-by-step explanation:

It is given that Zack borrowed $1,087 for 12 months at 11% interest. It means he must pay 11.00 per $100.

Formula of simple interest:

$I=\frac{P\times r\times t}{100}$

Where P is principal amount, r is rate of interest in percentage and t is time in years.

$I=\frac{1087\times 11\times 1}{100}$

$I=119.57$

The interest paid by Zack is $1,087.

The total amount of money he will repay is

$1,087+119.57=1,206.57$

Therefore option d is correct.

0 0

2 years ago

Read 2 more answers

A property tax rate of 16.3 mills is equal to

Westkost [7]

It is approximately 1.000

5 0

2 years ago

You are checking the intermediate results of a phone app that calculates the weight of an object in kilograms given the weight i

Illusion [34]

The wrong step is step 4, because you only need one conversion.

The formula to convers pounds to kilograms is

$\text{weight in pounds} = 2.2 \times \text{weight in kilograms}$

Obviously, the inverse formula is

$\text{weight in kilograms} = \cfrac{\text{weight in pounds}}{2.2}$

So, you're given an input of 142 pounds. To convert it in kilograms, plug that value into out formula:

$\text{weight in kilograms} = \cfrac{142}{2.2} \approx 64.5$

and this is the answer you're looking for, so you need no more steps.

4 0

2 years ago

Rewrite in simplest radical form! Show your work.

vazorg [7]

$x^{\frac{1}{\frac{-3}{6} }}$

First, let's deal with the fraction in the denominator of the exponent. Multiply the top and bottom of the exponent by 6.

$x^{\frac{6}{-3} }$

Now that the fraction in the denominator is taken care of, we can reduce the denominator.

$x^{-2}$ . Some professors might accept this as simplest form, but others might ask you to get rid of the negative.

$x^{-2} = \frac{1}{x^{2} }$

7 0

2 years ago

Read 2 more answers