Question

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), x Distance (miles), y
0 0
20 15
40 30
60 45
80 60

constant function

linear function

absolute value function

quadratic function

Answer 1

Answer:

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