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This equation shows the relationship between the amount of water (w), in liters, filled in Tank A and the number of minutes (m) it took to fill it.


w = 100 + 80.5m


This table shows the relationship between the amount of water, in liters, filled in Tank B and the number of minutes it took to fill the tank


Amount of water filled in Tank B:

Minutes: Amount of water: (liters)

0 154

2 384

6 844


What is the difference, in liters, between the total amount of water filled in Tank A and Tank B after 4 minutes?

Respuesta :

semsee45

Answer:

192 liters

Step-by-step explanation:

Tank A

w = 100 + 80.5m

where:

  • w = water in liters
  • m = time in minutes

Therefore, when m = 4:

⇒ w = 100 + 80.5(4) = 422 liters

Tank B

Given ordered pairs:  (0, 154)  (2, 384)  (6, 844)

[tex]\sf slope\:(m)=\dfrac{change\:in\:y}{change\:in\:x}=\dfrac{384-154}{2-0}=115[/tex]

Point-slope form of linear equation: [tex]\sf y-y_1=m(x-x_1)[/tex]

(where m is the slope and (x₁, y₁) is a point on the line)

[tex]\sf \implies y-154=115(x-0)[/tex]

[tex]\sf \implies y=115x+154[/tex]

Therefore, the equation for Tank B is:

w = 115m + 154

Therefore, when m = 4:

⇒ w = 115(4) + 154 = 614 liters

Difference

614 - 422 = 192 liters

Find equation for tank B

  • (0,154)
  • (2,384)

Slope:-

  • m=384-154/2=230/2=115

Equation in point slope form

  • w-154=115(m)
  • w=115m+154

For tank B

  • w=100+80.5m

Put 4on both

Tank A:-

  • w=100+80.5(4)
  • w=100+322
  • w=422L

TankB

  • w=115(4)+154
  • w=460+154
  • w=614L

Difference:-

  • 614-422
  • 192L

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