Question

HELPPPP gerald purchased 55 shaving stones to use in his garden the graph shows points representing the number of stones left to place at several different times will do all this working 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 play y and the time x gerald has spent working. ____x+y= ____

Answer 1

Answer-

$5x+y=55$

Solution-

In the graph, on the abscissa time in hours is represented and on the ordinate the number of stones left is represented.

From the graph we have three points, they are (0, 55), (3, 40), (7, 20)

Taking any two points and applying two point formula of straight line, we can get the equation or relation between the two variables.

$\dfrac{y-y_1}{y_2-y_1}=\dfrac{x-x_1}{x_2-x_1}$

Taking (0, 55), (3, 40)

$\Rightarrow \dfrac{y-55}{40-55}=\dfrac{x-0}{3-0}$

$\Rightarrow \dfrac{y-55}{-15}=\dfrac{x}{3}$

$\Rightarrow \dfrac{y-55}{-5}=x$

$\Rightarrow y-55=-5x$

$\Rightarrow 5x+y-55=0$

$\Rightarrow 5x+y=55$

Therefore, 5x+y=55 is the correct relationship that represents the number of paving stones left to play y and the time x Gerald has spent working.