Answer:
Y=12.5x+225
Step-by-step explanation:
CHECK THE COMPLETE QUESTION BELOW;
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
We were told to determine a linear model, where 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.
If we interpret this we have, Y=X+B , this equation can be compared to the standard equation of slope intercept of
Y= mx+b
Where the m is the slope, and b is the initial value at "y" intercept.
From the question, we were told that Y denotes a function of the number of minutes x at the rocket has burned
The given slope from the question, which is the rate= 12.5 gallons per minute
The given initial value =225 gallons of fuel which the value of "b"
If we substitute into the equation of the slope, we have;Y=12.5x+225 which is the required linear model .
