Which describes a difference between the duties of House members and the duties of Senate members?
A. House members serve on committees while Senate members only serve on boards.
B. House members meet with their constituents while Senate members only meet with other Senate members.
C. Senate members represent state interests while House members represent district interests.
D. Senate members hire and manage their staff while House members have no staff to manage.
Answer (3)
Using the first two values in the table, we can first find the slope to write an equation of a line, so we have
[4754 - 4962 ] / [20 - 12 ] = -26
So we have
y - 4754 = -26(x - 20)
y - 4754 = -26x + 520
y = -26x + 5274
Let's confirm that the amount after 50 minutes is correct
y = -26(50) + 5274 = 3974
So after 2 + 1/2 hrs (150 min) we have
y = -26(150) + 5274 = 1374 gallons ;
The equation in the slope-intercept form is y = − 26 x + 5274 and there will be 1374 gallons of water in the pool after 2 and a half hours.
The equation of a line that passes through two points ( x 1 , y 1 ) and ( x 2 , y 2 ) is ( y − y 1 ) = x 2 − x 1 y 2 − y 1 ( x − x 1 ) .
Take points ( 12 , 4962 ) and ( 20 , 4754 ) .
Here, x 1 = 12 , y 1 = 4962 , x 2 = 20 , y 2 = 4754 .
The equation is :
( y − 4962 ) = 20 − 12 4754 − 4962 ( x − 12 )
( y − 4962 ) = 8 − 208 ( x − 12 )
8 ( y − 4962 ) = − 208 ( x − 12 )
8 y − 39696 = − 208 x + 2496
208 x + 8 y − 39696 − 2496 = 0
208 x + 8 y − 42192 = 0
8 y = − 208 x + 42192
y = − 8 208 x + 8 42192
y = − 26 x + 5274.
The slope intercept form is y = m x + c , where m is the slope and c is the y -intercept.
After 2 and a half hours or 150 minutes.
Put x = 150 in the equation y = − 26 x + 5274.
y = − 26 × 150 + 5274
y = − 3900 + 5274
y = 1374
So, there will be 1374 gallons of water in the pool after 2 and a half hours.
Learn more about slope-intercept form here:
https://brainly.com/question/21366542?referrer=searchResults
The equation for the volume of water in the pool is y = − 26 x + 5274 , where x is the time in minutes. After two and a half hours, there will be 1374 gallons of water remaining in the pool. This equation represents the constant rate at which the pool is being drained.
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