Question

Function of two cars are given below:


Which car has more speed?

• A. Can't be determined
• B. Car A
• C. Car B
• D. Both have same speed

Answer 1

The correct option is B Car A

$\text{Speed of the car = slope =}\frac{\text{Distance}}{\text{Time}}$

Equation of Car A: y = -15 + 40.5x

The above equation is in the form of y = mx + c, where 'm' indicates the slope which is also speed of the car.

Comparing the equation y = -15 + 40.5x with y = mx + c, we get:

Slope (m) = 40.5

∴ Speed of Car A = 40.5 kmph

For Car B:

The function is passing through the points (3,150) and (6,270)

$\text{So, Slope (m)}=\frac{\text{Change in y}}{\text{Change in x}}$

$=\frac{270-150}{6-3}$

$=\frac{120}{3}$

$=40$

Slope = 40

∴ Speed of Car B = 40 kmph

Therefore, Car A has more speed than Car B.