Answer:
[tex]y=-15x+900[/tex]
Step-by-step explanation:
Let x be the number of minutes and y be the quantity of sand in the hour glass.
After 3 minutes,
Quantity of sand in the top half=855 ml
After 10 minutes , quantity of sand in the top half=750 ml
We have to find the equation which represents this situation.
Now, we get two points (3,855) and (10,750)
Slope formula :[tex]m=\frac{y_2-y_1}{x_2-x_1}[/tex]
By using slope formula
Slope =[tex]\frac{750-855}{10-3}=\frac{-105}{7}=-15[/tex]
The equation of a line with slope m passing through the point [tex](x_1,y_1)[/tex]
[tex]y-y_1=m(x-x_1)[/tex]
The equation of line with slope -15 and passing through the point (3,855) is give by
[tex]y-855=-15(x-3)[/tex]
[tex]y-855=-15x+45[/tex]
[tex]y=-15x+45+855=-15x+900[/tex]
Hence, the equation represents this situation is given by
[tex]y=-15x+900[/tex]
