We have 2 BP miatas (miata 1 is N/A; miata 2 is turbocharged).

Both are using stock mazda BP throttle bodies, throttle cables (of the same length with the same tension applied to both), and gas pedals mounted in the stock position.

We will represent the position of the gas pedal with the value "X", and the position of the butterfly valve in the throttle body as value "Y"

In both cars, when the gas pedal is not depressed at all (left in its natural position), the gas pedal has a value of X=0, since it has moved 0% of it's allowable travel. With no pressure on the pedal, and in turn no pressure on the throttle cable, the butterfly valve remains closed. So we will assign it the value Y=0, since it has moved 0% of its allowable travel.

Thus: when the pedal is not pressed in either car, the throttle position and the position of the butterfly valve can be represented as the point (0,0) on a graph using the cartesian coordinate system, otherwise know as an xy graph.

In both cars, when the gas pedal is fully depressed (placed on the floor), the pedal has the value X=100, since it has moved 100% of its allowable travel. With the pedal on the floor, the butterfly valve is opened to it's maximum point, Y=100.

Thus: when the pedal is pressed to the floor in either car, the throttle position and the position of the butterfly valve can be represented as the point (100,100) on a graph using the cartesian coordinate system, otherwise know as an xy graph.

So: in our N/A car, miata 1, the throttle reacts to no throttle input with the result (0,0), and reacts to full throttle input with the result (100,100).

Let's use the slope formula ((y2-y1)/(x2-x1)) and calculate the slope of the throttle response of miata 1. ((100-0)/(100-0)). Thus the slope of this line is 100/100. Which equals 1/1, which equals a slope of "1" for our N/A car.

Let's repeat this calculation with our data from miata 2, our turbocharged example. The throttle reacts to no throttle input with the result (0,0), and reacts to full throttle input with the result (100,100).

Let's use the slope formula ((y2-y1)/(x2-x1)) and calculate the slope of the throttle response of miata 2. ((100-0)/(100-0)). Thus the slope of this line is 100/100. Which equals 1/1, which equals a slope of "1" for our turbo car.

So, the throttle response of miata 1 (the N/A car) can be represented by this equation: Y=X

(Where Y=MX+B, where M is the slope and B is our y-intercept. Our y-intercept=0; so Y=MX. Our slope is 1, therefore, Y=X)

Yet, the slope for miata 2 (our turbo car) can be represented by the same equation, since it has an identical slope, and a y-intercept equal to zero.

So, it seems as though both cars would have identical throttle response. Represented by the equation: Y=X