Answer:
Range of the function is:
{55.25, 100.50, 145.75, 191.00, 236.25, 281.50}
Step-by-step explanation:
Given that:
Seating capacity of the car = 6
Entrance fee per person = $45.25
Parking fee per car = $10
Leah is accompanied by
friends.
So, the total cost can be modeled as the following linear function:
![y=45.25x+10](https://tex.z-dn.net/?f=y%3D45.25x%2B10)
Now, the value of
i.e. number of friends going with Leah can be any of the following:
0, 1, 2, 3, 4 or 5 (because maximum capacity of the car is 6).
Leah is also going.
So, total number of people can be 1, 2, 3, 4, 5 or 6.
Therefore, the table of
can be:
![\begin{center}\begin{tabular}{ c c}x & y \\ 1 & 55.25 \\ 2 & 100.50 \\ 3 & 145.75 \\ 4 & 191 \\ 5 & 236.5 \\ 6 & 281.50 \\\end{tabular}\end{center}](https://tex.z-dn.net/?f=%5Cbegin%7Bcenter%7D%5Cbegin%7Btabular%7D%7B%20c%20c%7Dx%20%26%20y%20%5C%5C%201%20%26%2055.25%20%20%5C%5C%20%202%20%26%20100.50%20%20%5C%5C%20%20%203%20%26%20145.75%20%20%5C%5C%204%20%26%20191%20%20%5C%5C%205%20%26%20236.5%20%20%20%5C%5C%206%20%26%20281.50%20%20%20%5C%5C%5Cend%7Btabular%7D%5Cend%7Bcenter%7D)
Here, the value of
is nothing but the range of the function.
Therefore, the range of the linear function is:
{55.25, 100.50, 145.75, 191.00, 236.25, 281.50}