Mathematics: Carlos was driving at a constant speed. After three hours he was three hundred miles from E-Town on the highway at the 6 hours he was full and 80 miles from town which fraction which function represents Carlos distance y from the town after X hours

Carlos was driving at a constant speed. After - id10931117, natalyarenassalgado

Tirone

23.03.2022

$y = -\frac{220}{3}x + 520$

Step-by-step explanation:

Given

x = time

y = distance

For the first 3 hours, we have:

(x_1,y_1) = (3,300)

At 6 hours, we have:

(x_2,y_2) = (6,80)

Required

Express y as a function of x

First, calculate the slope:

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

This gives:

$m = \frac{80 - 300}{6 - 3}$

$m = \frac{-220}{3}$

$m = -\frac{220}{3}$

The equation is then calculated using:

y = m(x - x_1) + y_1

Where:

$m = -\frac{220}{3}$

(x_1,y_1) = (3,300)

$y = -\frac{220}{3}(x - 3) + 300$

Open bracket

$y = -\frac{220}{3}x + \frac{220}{3}*3 + 300$

$y = -\frac{220}{3}x + 220 + 300$

$y = -\frac{220}{3}x + 520$

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