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prohojiy [21]
2 years ago
13

An oil tanker is leaking at a constant rate per minute. After 11 minutes, 931 gallons of oil remain in the tanker. After 18 minu

tes, 633 gallons of oil remain in the tanker. Write the function f(t) that describes this scenario.
Mathematics
1 answer:
bekas [8.4K]2 years ago
5 0

The  function f(t) that describes this scenario will be A = -42.57t + 1399.28

  • Let the amount of oil remaining after time t be A
  • Let the time taken be "t"

This required linear expression will be given as A= mt + b

Writing the gallons of oil and the time taken as a coordinate point (A, t), these are given as (11, 931) and (18, 633)

m is the rate of change = 633-931/18-11

m = -298/7

m = -42.57

Get the intercept;

633 = -42.57(18) + b

633 = -766.29 + b

b = 1,399.28

Heence the  function f(t) that describes this scenario will be A = -42.57t + 1399.28

Learn more on functions here; brainly.com/question/17431959

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Find the root<br><br> X^3-125=0
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2 years ago
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Mice21 [21]

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Step-by-step explanation:

5 0
2 years ago
The basketball boosters are selling school t-shirts for 20 dollars and pants for 45 dollars. Last week they sold 100 items and c
lana66690 [7]

He sold 76 shirts and 24 pants.

Step-by-step explanation:

Given,

Cost of one t-shirt = $20

Cost of one pants = $45

Total items sold = 100

Total sales = 2600

Let,

x be the number of t-shirts

y be the number of pants

According to given statement;

x+y=100    Eqn 1

20x+45y=2600   Eqn 2

Multiplying Eqn 1 by 20

20(x+y=100)\\20x+20y=2000\ \ \ Eqn\ 3

Subtracting Eqn 3 from Eqn 2

(20x+45y)-(20x+20y)=2600-2000\\20x+45y-20x-20y=600\\25y=600

Dividing both sides by 25

\frac{25y}{25}=\frac{600}{25}\\y=24

Putting in Eqn 1

x+24=100\\x=100-24\\x=76

He sold 76 shirts and 24 pants.

Keywords: linear equations, subtraction

Learn more about linear equations at:

  • brainly.com/question/289820
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#LearnwithBrainly

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3 years ago
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