santaclaus wrote:suppose f(-3)=5/8 and f(2)=20. Find a formula for f assuming it is
a. linear y=mx +b so slope was 155/8. If I put it into the formula y=19 3/8x -18 3/4
To find the slope
, you need to divide the difference of the y-values by the difference of the x-values.
santaclaus wrote:b. exponential
f(20) =20. P=f(t)=abt
then put one equation over th eother to get b5=32, so b=2
Once you've determined that b = 2 (I get the same value, by the way), then back-solve to find the value of "a". Then write the function f(t) = a*bt
, plugging in your values for "a" and "b".