Question

The function for the distance travelled by the three different cars in some particular time is given below:


Which of the following statement is correct regarding the above information?

• A. Slope of car A = Slope of car C
• B. Slope of car C = Slope of car B
• C. Slope of car A = Slope of car B = Slope of car C
• D. Slope of car A = Slope of car B

Answer 1

The correct option is A Slope of car A = Slope of car C

For Car A, the function is expressed as y = 38x - 22

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

Comparing the equation y = 38x - 22 with y = mx + c, we get:

Slope of Car A = 38

For Car B:


Function of Car B is passing through the points (3,135) and (7,315)

$\text{Slope of the function (m)}=\frac{\text{Change in y}}{\text{Change in x}}$

$=\frac{315-135}{7-3}$

$=\frac{180}{4}$

$=45$

So, Slope of Car B = 45

For Car C:


Function of Car C is passing through the points (4,152) and (6,228)

$\text{Slope of the function (m)}=\frac{\text{Change in y}}{\text{Change in x}}$

$=\frac{228-152}{6-4}$

$=\frac{76}{2}$

$=38$

So, Slope of car C = 38

∴ Slope of Car A = Slope of Car C = 38