vicky9174
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A particular rocket taking off from the earth surface uses fuel at a constant rate of 12.5 gallons per minute the rocket initially contains 225 gallons of fuel determine a linear model and Y equals X plus B form for the amount of fuel Y as a function of the number of minutes x at the rocket has burned

Respuesta :

calculista

Answer:

[tex]y=12.5x+225[/tex]

Step-by-step explanation:

Let

x ----> the number of minutes

y ----> the amount of fuel in gallons

we know that

The linear equation in slope intercept form is equal to

[tex]y=mx+b[/tex]

where

m is the unit rate or slope

b is the y-intercept or initial value

we have that

The unit rate or slope is equal to

[tex]m=12.5\ \frac{gal}{min}[/tex]

[tex]b=225\ gal[/tex] ----> initial value (value of y when the value of x is equal to zero)

substitute

[tex]y=12.5x+225[/tex]

fichoh

The linear model which represents the amount of fuel left in the rocket as a function time is y = 12.5x + 225

Let :

  • Y = amount of Fuel used
  • X = number of minutes burned

The general form of a linear regression equation can be expressed as :

  • Y = bx + c ; b = slope , c = intercept

The intercept value, c = initial fuel content = 225 gallons

The slope value, b = rate of fuel consumption per minute = 12.5 gallons.

The linear model can be expressed as ; y = 12.5x + 225

Learn more : https://brainly.com/question/18405415

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