Write an exponential function in the form y=ab^x that goes through points (0,7) and (3,875).

A sample of a radioactive isotope had an initial mass of 490 mg in the year 1995 and decays exponentially over time. A measurement in the year 1998 found that the sample's mass had decayed to 240 mg.

What is the equation for this situation? Use y=a(b)^x and round b to the thousandth.

Using your answer from [2]:

What would be the expected mass of the sample in the year 2005, to the nearest whole number?

The accompanying table shows the value of a car over time that was purchased for 18500 dollars, where x is years and y is the value of the car in dollars. Write an exponential regression equation for this set of data, rounding all coefficients to the nearest ten-thousandth.

Using the equation from [4], determine how long it will be, to the nearest tenth of a year, until the car's value is 6000 dollars.

You can either write your work, or take a picture of the calculator screen.

Create a parent table for y=(\frac{1}{2})^x

Then, graph y=-6(\frac{1}{2})^x+5

Be sure to include the asymptote.

Create a parent table for y=3\log_4(x+5)+2

Then, graph it. Be sure to include the asymptote.

The accompanying table shows wind speed and the corresponding wind chill factor when the air temperature is 13°F. Write a logarithmic regression equation for this set of data, rounding all coefficients to the nearest thousandth.

Using the equation from [30], find the wind chill factor, to the nearest degree, when the wind speed is 22 miles per hour.