The table below shows the square roots of different numbers:

number
(x) 4 4 9 9
square root
(y) 2 -2 3 -3

part a: does the table represent y as a function of x? justify your answer. (5 points)

part b: the total cost f(x), in dollars, for renting a car for a week and driving it x miles is shown below:

f(x) = 90 + 0.11x

what is the value of f(300), and what does f(300) represent? (5 points)

a.No, given table does not represent y as  function of x.

b.f(300)=123 miles

f(300) represent the total cost of car for  driving 300 miles.

Step-by-step explanation:

We are given that

Number (x)           4  4  9 9

Square root(y)      2   -2 3 3

a.We have to find that given table represent y as  function of x.

We know that function is mapping between two non- empty set A and B .

Every element in set A has a unique image in set B.

One element in set A can not have more than one image in set B

But two or more than elements in set A can have same images in set B.

But from given table

Image of 4 are 2 and -2 which is not possible by definition of function.

Hence, tables does not represent y  as a function of x.

B.

Where f(x)= Total cost (in dollars) for renting a car for a week

x=Driving distance (miles)

Substitute x=300

Then, we get

Hence, f(300) represent the total cost  of rent of car for driving 300 miles .

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