The table below shows the height,
h
, in meters, of an object that is thrown off the top of a building as a function of
t
, the time in seconds after it is thrown.

t
0.5 1 1.5 2 2.5 3
h
(
t
)
88.725 98 104.825 109.2 111.125 110.6

Using your calculator to do a quadratic regression, express the height of the object as a function of the number of seconds that have passed since the object was thrown.

Round all numbers to 1 decimal place.

Using your quadratic regression, how high will the object be 2.8 seconds after it is thrown?

Round to 3 decimal places.

Using your quadratic regression, how long will it take the object to reach 31 meters?

The rate of decay of a radioactive substance depends upon the amount present initially. the mass y (mg) of the radioactive substance cobalt-60 present in a sample at time t (years) is represented by the exponential equation y=50e −0.1315 t . answer the following questions in complete sentences. 1. how does the exponential equation above compare to the equation for simple interest that is compounded continuously? explain the similarities. 2. what is the initial amount of cobalt-60 in the sample? 2. how much cobalt-60 is left after 8.4 years? show your work. 3. what would be the y-intercept of the graph? what does it represent? 4. after how many years will the amount of cobalt-60 left be 6.25 mg? explain what happens to the cobalt-60 after 50 years? 5. discuss some “real-world” examples and uses of cobalt-60

Write the slope intercept equation for line ab.

Find y to the nearest hundreds place