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Nereo and Azeneth start recording video at the same time. Nereo's phone starts with 1,0001{,}0001,0001, comma, 000 megabytes (MB\text{MB}MBstart text, M, B, end text) of free space and uses 7 MB7\,\text{MB}7MB7, start text, M, B, end text of space per second of video. Azeneth's phone has 1,255 MB1{,}255\,\text{MB}1,255MB1, comma, 255, start text, M, B, end text of free space and uses 10 MB10\,\text{MB}10MB10, start text, M, B, end text of space per second of video. How much free space will they have when they first have the same amount of space left?

Sagot :

Using a linear function, it is found that they will have 405 MB of free space when they first have the same amount of space left.

What is a linear function?

A linear function is modeled by:

y = mx + b

In which:

  • m is the slope, which is the rate of change, that is, by how much y changes when x changes by 1.
  • b is the y-intercept, which is the value of y when x = 0, and can also be interpreted as the initial value of the function.

The free space for each of Nereo and Azeneth can be modeled by a linear function, in which the slope is negative with the amount that each second of video takes and the y-intercept is the initial free space. Her the functions for the amount of free space after x seconds are given by:

  • N(x) = 1000 - 7x.
  • A(x) = 1255 - 10x.

They will have the same amount of free space when:

N(x) = A(x)

1000 - 7x = 1255 - 10x

3x = 255

x = 255/3

x = 85.

The space will be of:

N(85) = 1000 - 7 x 85 = 405 MB.

More can be learned about linear functions at https://brainly.com/question/24808124

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