In: Math
The table below contains data for a linear function:
tt | 6.2 | 6.4 | 6.6 | 6.8 |
f(t)f(t) | 565.2 | 577.4 | 589.6 | 601.8 |
Find a formula for the function.
f(t)=
Out of the given data pick two points and make the equation of lines in two point form, and at last place the other two points in equation to check-
From give table we have following points
As we know equation of a linear function is
Place two points-
So placing
---(i)
Now placing
---(ii)
Subtract (ii) from (i)
Divide both sides by
Place
in (i)
Subtract
from both sides
So place
and
in our function
So the function is-
Place and in it to check
Placing
hence verified
Placing
hence verified
So the function is-