Question

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...

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)=

Solutions

Expert Solution

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-


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