Answer:
[tex]C(x)=100x+1.3[/tex]
Step-by-step explanation:
we have
T(x) -----> the capacity of the old tank, in gallons
S(x) ----> the capacity, in gallons, of one of the new, smaller tanks
C(x) ----> the capacity, in gallons, of the other of the new, smaller tanks
x ----> the storage capacity of a bucket, in gallons
we know that
[tex]T(x)=S(x)+C(x)[/tex] ------> equation A
[tex]T(x) = 250x + 4.5[/tex] ----> equation B
[tex]S(x) = 150x + 3.2[/tex] ----> equation C
Substitute the equation B and equation C in equation A and solve for C(x)
[tex]250x + 4.5= 150x + 3.2+C(x)[/tex]
[tex](250x-150x) + (4.5-3.2)= C(x)[/tex]
[tex](100x) + (1.3)= C(x)[/tex]
Rewrite
[tex]C(x)=100x+1.3[/tex]