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The water level, w, in feet, of a river after a rainstorm is a function of the time, t,
,
in hours, since the storm began. The table below shows the water level readings collected at different times
Choose the linear function that models the data in the table.

Respuesta :

MrRoyal

The water level in the river is an illustration of a linear function

The linear function that models the data in the table is [tex]w = 0.8t + 17.9[/tex]

How to determine the equation of the water level?

From the complete question, we have the following table:

t      w

1     18.7

1.5  19.1

Start by calculating the slope (m)

[tex]m = \frac{w_2 - w_1}{t_2 -t_1}[/tex]

This gives

[tex]m = \frac{19.1 - 18.7}{1.5 - 1}[/tex]

Evaluate

[tex]m = 0.8[/tex]

The equation is then calculated as:

[tex]w = m(t - t_1) + w_1[/tex]

So, we have:

[tex]w = 0.8(t - 1) +18.7[/tex]

Expand

[tex]w = 0.8t - 0.8 +18.7[/tex]

[tex]w = 0.8t + 17.9[/tex]

Hence, the linear function that models the data in the table is [tex]w = 0.8t + 17.9[/tex]

Read more about linear functions at:

https://brainly.com/question/15602982

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