Question

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

Answer 1

Answer:

$y=12.5x+225$

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

$y=mx+b$

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

$m=12.5\ \frac{gal}{min}$

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

substitute

$y=12.5x+225$