contestada

Gerald purchased 55 paving stones to use in his garden. The graph shows points representing the number of stones left to place at several different times while Gerald is working. A function graph of a line segment having three points (0,55), (3,40) and (7, 20) with an x axis of zero to twelve Hours and a y axis of zero to sixty Paving Stones left Select from the drop-down menus to complete the equation, in standard form, that represents the relationship between the number of paving stones left to place, y, and the time, x, Gerald has spent working. x + y =

Respuesta :

MissPhiladelphia

The slope of the equation can be solve by:

 m = (20 – 55)/(7 – 0) = -5

using one point (0, 55) to solve the equation:

y – y1 =m ( x – x1)

y -55 = -5( x – 0)

5x +y = 55

Gerald can finish his job when y = 0 it is when x = 11 hrs

facundo3141592

We want to write a linear equation to model the given situation.

The line is: 5x + y = 55.

We know that a general linear equation is written as:

y = a*x + b

Where a is the slope and b is the y-intercept.

If the line passes through two points (x₁, y₁) and (x₂, y₂) then the slope is given by the formula:

[tex]a = \frac{y_2 - y_1}{x_2 - x_1}[/tex]

Now for our line we have 3 points, but we only need to use two, let's use the first two:

(0, 55)

(3, 40)

Then the slope is:

[tex]a = \frac{40 - 55}{3 - 0} = -5[/tex]

And because we have the point (0, 55), we know that the y-intercept is equal to 55, then the linear equation is:

y = -5*x + 55

Rewriting this in standard form we get:

5x + y = 55.

If you want to learn more, you can read:

https://brainly.com/question/13738061

Otras preguntas