Question

The table below shows the square roots of different numbers:

Answer 1

It is not a function because there is repeating x values. A function can have repeating y values, just not the x ones.

f(x) = 90 + 0.11x....f(300)
f(300) = 90 + 0.11(300)
f(300) = 90 + 33
f(300) = 123

f(300) represents the 300 miles u drive...and its cost is $ 123

Answer 2

Answer:

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.$f(x)=90+0.11 x$

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

x=Driving distance (miles)

Substitute x=300

Then, we get $f(300)=90+0.11(300)=90+33=123 miles$

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