An amusement park opens daily at 9:30 a. m. This morning the parking lot for the amusement park opened at 8:00 a. m. At 9:00 a. m., there were 132 cars in the parking lot. The parking attendants noticed that every half hour between 9:00 a. m. and 10:30 a. m., the number of cars in the parking lot tripled. What type of function appropriately models this situation?

An exponential function

Step-by-step explanation:

So let's suppose that at 9:00 am there were 132 cars. We'll call this

On the next half an hour, let's say at 9:30, the number of cars trippled, this is:

the next half an hour, at 10:00 am, the number of cars trippled, this is:

and finaly, at 10:30am, the number of cars trippled again, so:

We can now see a pattern there which can be simplified as:

or

where:

initial number of cars

n=number of half hours after 9:00 a.m

number of cars after n number of half hours.

That function we found there is an exponential function, which represents an initial amount being multiplied by the same number several times.

fahrenheit

step-by-step explanation:

fahrenheit is more precise than celsius. the ambient temperature on most of the inhabited world ranges from -20 degrees fahrenheit to 110 degrees fahrenheit—a 130-degree range. on the celsius scale, that range is from -28.8 degrees to 43.3 degrees—a 72.1-degree range. this means that you can get a more exact measurement of the air temperature using fahrenheit because it uses almost twice the scale.

the required function is .

step-by-step explanation:

from the given table it is noticed that the graph passing through (-3,7), (0,4), (3,1) and (8,-4).

it is a linear function because the value of y is decrease by one as the value of x increase by 1.

the slope of the function is

the slope of the function is -1 and the y-intercept is 4.

the slope intercept form is

where, m is slope and b is y-intercept.

therefore the required function is . the graph of this function is shown below.