Does this table represent a function? why or why not?

a.
yes, because the x-values are positive numbers.

b.
no, because none of the y-values are the same.

c.
no, because each x-value is different.

d.
yes, because every x-value corresponds to exactly one y-value.

For this case we must indicate if the given table represents a function.

By definition, a function is a relation between two sets in which each element of the first set is related to a single element of the second set.

It is observed in the table, that each value of the starting set has associated a single element in the arrival set.

Therefore, we have that it is a function because each value of "x" corresponds to a value of "y".

Option D

75 tickets have been sold so far.

step-by-step explanation:

in this question it is clearly mentioned that 45 children's tickets have been sold and this number is 60% of the total tickets sold.

now let's assume the total number of tickets sold be x.

then 60% of x = 45

⇒

⇒ x(.6) = 45

by dividing with .6 on both the sides of the equation

⇒ x = 75

therefore 75 tickets have been sold so far.

answer: yes, since the line has a steeper rate of change than the exponential the y-values will be greater and they will only intersect one time.