Aparticular 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

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

Let :

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

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

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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

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

----> initial value (value of y when the value of x is equal to zero)

substitute