Question

How can i find The function of f(x) = 150 (1.3)^t

Answer 1

Answer:

See below.

Step-by-step explanation:

In comments, you said you wanted it graphed.

If it says f(x) on the left side, the equation should have an 'x' on the right side, so something is fishy here.

But, in an effort to try and help you ....

With the data you have given, I would graph it just like y = 150 (1.3)^x

You can pick various values for x, like -3,-2,-1,0,1,2,3 and see what y is for each one, then plot the points on graph paper.

If x = 0, y= 150(1.3)^0 = 150(1) = 150  because anything to power zero is 1

If x = -1, y= 150(1.3)^(-1) = 150(1/1.3) ≈ 132.7

If x = +1, y= 150(1.3)^(1) = 150(1.3) = 195

And so on.

I did the graph on DESMOS and it has a very large scale.