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Mathematics : asked on maxB0846
 09.01.2021

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 same time since she got the order( in minutes). how long did it take julia to get ready for a delivery?

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17.02.2022, solved by verified expert
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Rajat Thapa
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Mathematics, DAV Post Graduate College
5 332 answers
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Answer:

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

Explanation:

Linear functions:

A linear function is modeled by:

Julia got a delivery order. she took some time, №15217078, 09.01.2021 04:22

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:

Julia got a delivery order. she took some time, №15217078, 09.01.2021 04:22

Then:

Julia got a delivery order. she took some time, №15217078, 09.01.2021 04:22

When Julia got a delivery order. she took some time, №15217078, 09.01.2021 04:22, which we use to find b, which is the time it takes Julia to get ready for a delivery.

Julia got a delivery order. she took some time, №15217078, 09.01.2021 04:22

Julia got a delivery order. she took some time, №15217078, 09.01.2021 04:22

Julia got a delivery order. she took some time, №15217078, 09.01.2021 04:22

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

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