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:[tex]y=12.5x+225[/tex]Step-by-step explanation:Letx ----> the number of minutesy ----> the amount of fuel in gallonswe know thatThe linear equation in slope intercept form is equal to[tex]y=mx+b[/tex]wherem is the unit rate or slopeb is the y-intercept or initial valuewe have thatThe 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]