college algebra

Suppose that the number of new homes built, H, in a city over a period of time, t, is graphed on a rectangular coordinate system where time is on the horizontal axis. Suppose that the number of homes built can be modeled by an exponential function, H= p * at , (H = p*a^t) where p is the number of new homes built in the first year recorded, and t is the number of years. You are going to decide if you would like to be a homebuilder in this market. Step 1 is to choose a value for “p” between 50 and 100; this is the initial number of homes built. Step 2 is to choose a value for “a”; this is the growth factor – you can choose “a” to be any number between 0 and 1 “OR” choose “a” to be any number greater than 1. Do not choose 0 or 1, as these are trivial cases. 1) Insert the chosen values for “p” and “a” into the formula listed above. 2) Use the formula to find the number of homes built, H, at any three values of time, t, in years that you want. Show your calculations and put units on your final answer!

asked by hilda
  1. built, H, in a city over a period of time, t, is graphed on a rectangular coordinate system where time is on the horizontal axis. Suppose that the number of homes built can be modeled by an exponential function, H= p * at , (H = p*a^t) where p is the number of new homes built in the first year recorded, and t is the numbe

    posted by Anonymous

Respond to this Question

First Name

Your Response

Similar Questions

  1. algebra

    Suppose the number of new homes built ,H, in a city over a period of time , t, is graphed on a retangular coordinate system where time is on a horizontal axis. Suppose that the number of new homes built can be modeled by an
  2. algebra

    Suppose the number of new homes built ,H, in a city over a period of time , t, is graphed on a retangular coordinate system where time is on a horizontal axis. Suppose that the number of new homes built can be modeled by an
  3. math

    Suppose that the number of new homes built, H, in a city over a period of time, t, is graphed on a rectangular coordinate system where time is on the horizontal axis. Suppose that the number of homes built can be modeled by an
  4. Algebra

    Library Research Assignment Please help with Discussion board problem Suppose that the number of new homes built, H, in a city over a period of time, t, is graphed on a rectangular coordinate system where time is on the horizontal
  5. College Algebra

    Part 1: Suppose that the number of new homes built, H, in a city over a period of time, t, is graphed on a rectangular coordinate system where time is on the horizontal axis. Suppose that the number of homes built can be modeled
  6. College Algebra

    Please Explain your reasoning Part 1: Suppose that the number of new homes built, H, in a city over a period of time, t, is graphed on a rectangular coordinate system where time is on the horizontal axis. Suppose that the number
  7. word problem

    Directions: Write a system of equations to solve the following word problem graphically and algebraically (using Gauss and using substitution). AMC Homes, Inc. is planning to build three- and four-bedroom homes in a housing
  8. math

    The average selling price of homes in a certain city is $356,300. Assume the variable is normally distributed with a standard deviation of $64,600. If 396 homes are for sale, how many homes will sell for more than $325,000? (Round
  9. 5th grade math

    city council decides to number homes on a new sub divison. However they leave out numbers that are multiples of 3 or 4 and the last home number is 67. How many homes are there on this street?
  10. Rate of change problem

    In 1993, 90 houses were built. in 1997, 102 more houses were built. find the average rate of change in the number of new homes built. express the result in terms of new houses built per year. a. 1/3 b. 102/90 c. 3/1 d. 5/2 could

More Similar Questions