algebra

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

  1. 👍 0
  2. 👎 0
  3. 👁 83
asked by Viggo

Respond to this Question

First Name

Your Response

Similar Questions

  1. Math

    Is the function below exponential? G(t)=(5⋅t)^2 If so, write the function in the form G(t)=ab^t and enter the values you find for a and b in the indicated blanks below. If the function is not exponential, enter NONE in both

    asked by George Carl on March 5, 2018
  2. Math

    Is the function below exponential? q(r)=−8/3^r If so, write the function in the form q(r)=ab^r and enter the values you find for a and b in the indicated blanks below. If the function is not exponential, enter NONE in both

    asked by George Carl on March 5, 2018
  3. math

    The value of Sara's new car decreases at a rate of 8% each year. 1.Write an exponential function to model the decrease in the car's value each month. 2.Write an exponential function to model the decrease in the car's value each

    asked by sara on November 17, 2017
  4. Algebra

    Two different businesses model their profits over 15 years, where x is the year, f(x) is the profits of a garden shop, and g(x) is the profits of a construction materials business. Use the data to determine which function is

    asked by Harmony on September 24, 2019
  5. Algebra

    Two different businesses model their profits over 15 years, where x is the year, f(x) is the profits of a garden shop, and g(x) is the profits of a construction materials business. Use the data to determine which function is

    asked by Harmony on September 24, 2019
  6. Math

    Okay, Calculate. Write each answer in exponential form and in standard form. 1.) 3^2*2^3 2.) 2^5/2^3 3.) (3^2)^3 I dont' understand, Its already in exponential form.

    asked by Larry on October 6, 2008
  7. calculus

    write the exponential function f(x)=-3*4^(1-x) in the form f(x)=ab^x

    asked by samantha on November 2, 2018
  8. Calculus

    Write the exponential function f(x)=4^x-3 in the form f(x)=ab^x

    asked by Lexy on November 27, 2018
  9. 5th grade math

    My daughter must correct the problems that she has gotten wrong in math, and we are trying to help her. I can not remeber how to write decimals in exponential form, and I tried looking in her book. Can some one help me so that I

    asked by Alicia on October 15, 2008
  10. math

    find an exponential function of the form P(t)yoe^kt to model the given; In 1995, the number of female athletes participating in Summer Olympics-Type Games was 550. In 1996, about 3550 participated in the summer olympics in

    asked by anonymous on March 26, 2011
  11. math

    3. Write the exponential growth function to model the following situation: A population of 422, 000 increases by 12% each year. 4. At t = 0 there are 50 grams of a radioactive isotope. The isotope has a half-life of 16 minutes.

    asked by nancy on October 3, 2019

More Similar Questions