Mathematics: The table shows the distance y (in miles) that you travel on a road in x minutes. What type of function best models the data? Time (minutes), xDistance (miles), y 00 2015 4030 6045 8060 constant function linear function absolute value function quadratic function

Jo turned around and walked back to the starting point8 km/hrStep-by-step explanation:4 km/one-half hr = 8 km/hr...

The table shows the distance y (in miles) that you

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31.01.2022

Linear Function

Step-by-step explanation:

Given

The table showing values of x and y

Required

Determine the type of function

To determine the type of function, the table represents;

One will need to determine the table equation.

Start by solving for the slope;

$m = \frac{y_1 - y_2}{x_1 - x_2}$

When x - 0; y = 0 and When x = 80; y = 60.

This gives

$m = \frac{0 - 60}{0 - 80}$

$m = \frac{- 60}{- 80}$

$m = \frac{3}{4}$

The formula is determine as follows;

y - y_1 = m(x - x_1)

When x - 0; y = 0; m = 3/4; This gives

$y - 0 = \frac{3}{4}(x - 0)$

$y = \frac{3}{4}(x - 0)$

Open Bracket

$y = \frac{3}{4}x - 0$

$y = \frac{3}{4}x$

The above is an example of a linear equation.

Hence; option B answers the question

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