The tables below show the values of y corresponding to different values of x:

table a

x
3 2 1

y
1 0 0

table b

x
3 5 5

y
−2 1 2

which statement is true for the tables?

both table a and table b represent functions.

both table a and table b do not represent functions.

table a does not represent a function, but table b represents a function.

table a represents a function, but table b does not represent a function.

Solution:

A function or mapping is defined as set of ordered pairs(x,y) such that for different x values there will be different y values or vice versa.for example , x= y +2 is a function,because for different y we will get different x and for no  two different , y values we get a unique x value. For two different y's we get two different x, then we can call it a function.

Table A    

            X               Y

            3                 1

             2                 0

             1                  0

As, each element of X is associated with unique element of Y, so this is a function.

Table B

X            Y

3           -2

5              1

5              2

Two same elements of X that is 5 has different images that is 1 as well as 2 . So this is not a function.

Option (4) →Table A represents a function, but Table B does not represent a function.

d. millimeters per hour.

step-by-step explanation:

we are given that,

carlo used a rain gauge to measure the amount of water his lawn is receiving from the sprinklers.

since, according to the options, we see that,

water cannot be measured by 'miles per hour', 'meters per second' and 'grams per seconds'.

we get that, the water can be measured by 'millimeters per hour'.

hence, the appropriate rate for describing the amount of water is 'millimeters per hour'.

i think it is c, not positive though

step-by-step explanation: