Question

the data in the adjacent table depicts the length of a women forhand and her corresponding height.based on this data,a student finds a relationship between the height (y) and the forhand length (x) as y=ax+b ,where a,b are constant. table.( length'x' of forehand (in cm )45.5,35 ,45,50,55 height 'y'(in inches) 65.5,56,65,69.5,74 ) .(i) check if this relation is a function. (ii) find a and b​

Answer 1

Answer:

a = 0.9 and b = 24.5

Step-by-step explanation:

y = ax + b

Step 1

x = 45.5 and y = 65.5

Now,

65.5 = a (45.5) + b -----> eqn (1)

56.0 = a (35.0) + b -----> eqn (2)

__-______-______-________

09.5 = 10.5 a

a = 09.5/10.5 = 0.9

a = 0.9 , Substitute in eqn 1 or 2

56 = 35 (0.9) +b

24.5 = b.

(i) is a function.

(ii) a and b value "above..

(iii) 60.5

(iv) 32 cm