Answer:
\(y=-15x+900\)
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 :\(m=\frac{y_2-y_1}{x_2-x_1}\)
By using slope formula
Slope =\(\frac{750-855}{10-3}=\frac{-105}{7}=-15\)
The equation of a line with slope m passing through the point \((x_1,y_1)\)
\(y-y_1=m(x-x_1)\)
The equation of line with slope -15 and passing through the point (3,855) is give by
\(y-855=-15(x-3)\)
\(y-855=-15x+45\)
\(y=-15x+45+855=-15x+900\)
Hence, the equation represents this situation is given by
\(y=-15x+900\)
