Problema Solution
When it was 3 years old, the annual registration fee for a Dodge Caravan was
$400.
When it was 5 years old, the registration fee dropped to
$360.
If the relationship is linear, write an equation that gives the registration fee f in dollars for the van when it is x years old.
Answer provided by our tutors
the relationship between registration fee f in dollars for the van and x its years of age is linear:
f(x) = ax + b, where a and b are linear
for x = 3, f = 400
400 = 3a + b
3a + b = 400
for x = 5, f = 36O
360 = 5a + b
5a + b = 360
by solving the system of equations:
3a + b = 400
5a + b = 360
we find:
a = -20
b = 460
click here to see the step by step solution of the system of equations:
the relationship is described with the linear equation:
f(x) = -20x + 460.