Which of the following statements best describes the relationship of a relation and a function? select all that apply. a relation is always a function. a function is always a relation. a function is a relation, if and only if, the x-values do not repeat in a given set. a relation is a function, if and only if, the x- values do not repeat in a given set. a function is never a relation. a relation is never a function.

A function is always a relation.

Step-by-step explanation:

We know that a relation is said to be a function, if for every input value (independent variable-x) there is only one unique (dependent variable -y).

Let's check all the statements:

A function is always a relation.

→ It is true, each and every function is a relation but not evry relation is a function.

A function is a relation, if and only if, the x-values do not repeat in a given set.

→Every function is a relation, so there is no such condition to be a relation.

A relation is a function, if and only if, the x- values do not repeat in a given set.

→ It is not true, x-values can be repeated but the corresponding y-values must remains same.

A function is never a relation.

→ It is not true by the definition of function.

A relation is never a function.

→ It is not true by the definition of function.

15% chance.

step-by-step explanation:

3/10 times, the 5 year old will get a tablet. 5/10 times, the 13 yer old will get a tablet. multiply both fractions to get 15/100 times, both would have a tablet.

2 & 7

step-by-step explanation:

he climbs 300 ft/hr at a constant rate. the peak is at 1,500 ft.

when going up, he reaches 600 ft in 2 hours. remember, that he is going in a constant rate. divide 600 with 300:

600/300 = 2

assuming that he takes the same route back (meaning that it's a 1500 ft route back, you can solve.

note also that you are solving when he gets back to 600 ft after he reaches the peak.

first, find the amount of hours it takes to get up the peak. divide the total amount (1500), with the ft/her (300) to get the amount of hours (x):

1500/300 = x

x = 5

it takes jamie 5 hours to get up. now, he is returning down, and reaches 600 (his current destination). remember that he climbs at a constant 300 ft/hr. divide 600 with 300:

600/300 = x

x = 2

now add the two numbers together.

x = 5 + 2 = 7

jamie takes 7 hours to go up the mountain and reach his current position when descending.

(total amount/constant rate) = (time).

remember that it is a constant rate, so in total, when he gets back down the mountain, it will take the same amount of time as when he goes up. the total amount for the round trip is: 5 + 5 = 10.

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