Question

An internet cafe charges $7.00 for the first 15 minutes of use of the internet and $3.00 for each additional 15 minutes

Answer 1

The cost of using the internet at an internet cafe can be calculated by dividing the total time by 15, multiplying the result by $3.00, and adding $7.00 for the initial 15 minutes.

Step-by-step explanation:

The subject of this question is Mathematics. The problem involves calculating the cost of using the internet at an internet cafe. The cafe charges $7.00 for the first 15 minutes and $3.00 for each additional 15 minutes.

To calculate the total cost, we first divide the total time by 15 to determine the number of additional 15-minute intervals. We then multiply this number by $3.00 and add $7.00 for the initial 15 minutes.

For example, if a student uses the internet for 45 minutes, we divide 45 by 15 to get 3. This means there are 3 additional 15-minute intervals, so we multiply 3 by $3.00 to get $9.00. Adding the initial $7.00, the total cost would be $16.00.

Answer 2

The total amount owed for a usage duration of 47 minutes is $11.27.

To calculate the total amount owed to the internet cafe for a usage duration of 47 minutes, we can break it down into the initial charge for the first 15 minutes and the additional charge for the remaining 32 minutes.

Given:

Initial charge for the first 15 minutes: $7.00

Additional charge for each 15 minutes (or part of 15 minutes): $2.00

Let's calculate:

Initial charge for the first 15 minutes: $7.00

Additional charge for the remaining 32 minutes:

Since each additional 15 minutes incurs a $2.00 charge, for 32 minutes, we'll need to calculate the number of additional 15-minute intervals: 32/15

Additional charge =
`(32)/(15) * $2.00`

Now, let's substitute these values and calculate:

`\text{Total amount owed} = $7.00 + \left((32)/(15) * $2.00\right))`

To simplify the calculation, you can convert the mixed number 32/15 to an improper fraction:

`\text{Total amount owed} = $7.00 + \left((32)/(15) * $2.00\right))`

`\text{Total amount owed} = $7.00 + (64)/(15)`
`\text{Total amount owed} = $7.00 + (64)/(15)`

Now, add the fractions:

`\text{Total amount owed} = $7.00 + (64)/(15)`

To add fractions, find a common denominator, which is 15 in this case:

Total amount owed =
`(105)/(15)+(64)/(15)`

Now, add the numerators and keep the common denominator:

Total amount owed =
`(169)/(15)`

Divide the numerator by the denominator:

Total amount owed =
`11 (4)/(15)` = $11.27

Correct Question:

An internet cafe charges $7.00 for the first 15 minutes of use of the internet and $2.00 for each additional 15 minutes (or part of 15 minutes). How much is owed to the cafe if a person used 47 minutes?