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alexandr402 [8]
3 years ago
6

an hourglass is turned over with the top part filled with sand. after 3 minutes, there are 855 ml of sand in the top half. after

10 minutes, there are 750 ml of sand in the top half. which equation represents this situation
Mathematics
2 answers:
Anettt [7]3 years ago
7 0

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

Hitman42 [59]3 years ago
5 0

An hourglass is turned over with the top part filled with sand. after 3 minutes, there are 855 ml of sand in the top half. after 10 minutes, there are 750 ml of sand in the top half. This can be represents a two points ( 3, 855) and (10, 750) . using this to solve the slope m = (750-855)/(10-3) = -15. And using one point the equation is y = -15x + 900.

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You get a system

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