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Andreyy89
3 years ago
13

An oil tanker is leaking at a constant rate per minute. After 12 minutes, 537 gallons of oil remain in the tanker. After 16 minu

tes, 336 gallons of oil remain in the tanker. Write the function f(t) that describes this scenario.
Mathematics
1 answer:
andrew-mc [135]3 years ago
3 0

Answer:

y = -50.25x + 1140

Step-by-step explanation:

since it's constant, it's gonna be a linear equation.

delta y over delta x, then use one of the y values to find b

(y2-y1)  /  (x2-x1)

336-537 = -201

16-12=4

-201 / 4 = -50.25

m = -50.25

336 = -50.25 (16) + b

336 = -804 + b

add 804 to both sides

1140 = b

y = -50.25x + 1140

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Answer:

x=5

Step-by-step explanation:

We need to find the value of x the given equation: 3x-2=x+8

the goal when solving for equations is to isolate the variable onto one side, and have the number (value of what x is) on the other side

here's the equation:

3x-2=x+8

first, add 2 to both sides

3x-2=x+8

   +2   +2

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3x=x+10 (2 goes away on the left side, as -2+2=0)

now, subtract x from both sides

3x=x+10

-x   -x

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2x=10 (x goes away on the right side, as x-x=0)

we have the variable isolated on one side, with the number on the other, but we need the value of x by itself (1x)

divide both sides by 2

x=5 (because 2x/2=1x, or x. 10/2=5).

therefore, the value of x is 5

Hope this helps!

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Step-by-step explanation:

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