Answer: f(x) = 195 - x*5
Step-by-step explanation:
Colton has 120 small prizes and 75 larger prizes.
Then at the start, he has 120 + 75 = 195 prizes.
In each bag, he puts 3 small prizes and 2 larger prizes, then in each bag there are 3 + 2 = 5 prizes.
Then if he fills x bags, he will have: x*5 fewer prizes, then we can write the equation f(x) as:
f(x) = 195 - x*5
Where when x = 0, this means that he filled zero bags, then he has the initial amount of prizes, 195.
Answer:
The second condition is a function.
'When I turn the knob left, the door locks every time.'
Step-by-step explanation:
We know function is a special type of relation in which every element of a set ( Here set A(let) includes {H} in first condition and {turning the knob} in second condition) is related to other set (Here set B(let) includes {output U and G} in first condition and{locking of door}in second condition) in such a way that every element of set A have one and only one image in set B.
Here,
In condition 1 one element of set A(pressing key H) have two image(output U and G both)
[which do not satisfies the condition for being a function.]
In condition 2 one element of set A(turning knob left) have only one image(locking of door every time.)
[which satisfies the condition of being function]