A particular rocket taking off from earths surface uses fuel at a constant rate of 12.5 gallons per minute. The rocket initially contains 225 gallons of fuel

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 .

{x = -1/2 ,   y = -1

step-by-step explanation:

solve the following system:

{2 x + y = -2

{10 x - 3 y = -2

in the first equation, look to solve for y:

{2 x + y = -2

{10 x - 3 y = -2

subtract 2 x from both sides:

{y = -2 x - 2

{10 x - 3 y = -2

substitute y = -2 x - 2 into the second equation:

{y = -2 x - 2

{10 x - 3 (-2 x - 2) = -2

10 x - 3 (-2 x - 2) = (6 x + 6) + 10 x = 16 x + 6:

{y = -2 x - 2

{16 x + 6 = -2

in the second equation, look to solve for x:

{y = -2 x - 2

{16 x + 6 = -2

subtract 6 from both sides:

{y = -2 x - 2

{16 x = -8

divide both sides by 16:

{y = -2 x - 2

{x = -1/2

substitute x = -1/2 into the first equation:

{y = -1

{x = -1/2

collect results in alphabetical order:

answer:   {x = -1/2 ,   y = -1