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Julia got a delivery order. She took some time to get ready, and then she rode her bicycle at a constant speed. The table compares the distance Julia made (in kilometers) and the time since she got the order (in minutes). Distance (kilometers)Time (minutes) 666464646 888585858 101010707070 How long did it take Julia to get ready for a delivery?

Respuesta :

Using a linear function, it is found that it takes Julia 10 minutes to get ready for a delivery.

Linear functions:

A linear function is modeled by:

[tex]y = mx + b[/tex]

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.

In this problem:

  • For a distance of 6 km, she takes 46 minutes.
  • For a distance of 8 km, she takes 58 minutes.
  • For a distance of 10 km, she takes 70 minutes.

We have that when the distance changes by 2 km, the time increases by 12 minutes, hence the slope is:

[tex]m = \frac{12}{2} = 6[/tex]

Then:

[tex]y = 6x + b[/tex]

When [tex]x = 6, y = 46[/tex], which we use to find b, which is the time it takes Julia to get ready for a delivery.

[tex]y = 6x + b[/tex]

[tex]46 = 6(6) + b[/tex]

[tex]b = 10[/tex]

It takes Julia 10 minutes to get ready for a delivery.

To learn more about linear functions, you can take a look at https://brainly.com/question/24282972

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Answer:

6

Step-by-step explanation:

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