Question 97050
ANS 1
Since it is given that the cost is a linear representation of distance

let us represent the cost C = k*m + A  ( similar to y=mx +c)
where k is the coefficient of m ( the miles travelled) and A a constant factor

A 2 mile cab ride costs $5.25.
 5.25 = k*2 + A .......(2)


 A 5 mile cab ride cost $10.50
10.50 = k*5 + A ........(3)

Subtractin (2) from (3)

5.25 = 3k 
k = 5.25/3 =1.75

Substituting k in (2)

5.25 = 1.75*2 + A
A= 5.25 - 3.50= 1.75

Putting the values of k and A in (1)

we have the Cost C= 1.75m + 1.75 where m is the distance covered.


ANS 2  given f(x)= 2x+5 and g(x)= -1/3x + 2 

to evaluate f(-2) / g(f(-2)+1)
we have f(-2) = 2* (-2) +5 =1
now g(f(-2)+1)
=g(1+1)    putting the value of f(-2) from above
=g(2) = -1/3*2 + 2
      =-1/6 +2 
      =11/6

f(-2) / g(f(-2)+1) = 1/(11/6)= 6/11