How do you do this:

Write an exponential function of the form y=ab^x that has a graph through (-2, 25) and (1, 10).

This is what I have so far:
10=ab^1
10/b=a
y=10/b*b^x
2/25=10b^-3
.008=b^-3

Then I am stuck. Am I doing it right so far? How do I continue? Thanks!

I don't get your second last line, I had:

25 = (10/b)b^-2
2.5 = b^-3
0.4 = b^3
b=cuberoot(.4)=.7368...
then a=10/.7368... = 13.572..

so y = 13.572(.7368)^x

I checked both data values, they work

gotcha thanks

Similar Questions
  1. Put the different points in the text into a paragraph with sentences.An exponential growth function is: y = 2^x. Explanation:
    1. answers icon 1 answer
  2. Can someone help.Is the function below exponential? 𝑚(𝑡)=(2⋅5𝑡)3 If so, write the function in the form
    1. answers icon 2 answers
  3. Write the exponential function y=6(1.21)t in the form y=aekt.(a) Once you have rewritten the formula, give k accurate to at
    1. answers icon 1 answer
  4. This table shows some values of the function g(x):x –1 0 1 2 3 g(x) 3/2 3 6 12 24 Is g(x) linear or exponential? Write an
    1. answers icon 1 answer
more similar questions