Please do the problems, then submit. You may go back in to check (and change) your answers.
If you didn't finish your homework (DelatMath) yet, please finish it tonight.
Question 1
1.
Write an exponential function in the form y=ab^x that goes through points (0,7) and (3,875).
Question 2
2.
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.
Question 3
3.
Using your answer from [2]:
What would be the expected mass of the sample in the year 2005, to the nearest whole number?
Question 4
4.
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.
Question 5
5.
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.
Question 6
6.
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.
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Question 18
18.
Create a parent table for y=3\log_4(x+5)+2
Then, graph it. Be sure to include the asymptote.
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Question 30
30.
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.
Question 31
31.
Using the equation from [30], find the wind chill factor, to the nearest degree, when the wind speed is 22 miles per hour.
After you have submitted, and checked your answers, work on DeltaMath.
