Here is a function machine - OCR - GCSE Maths - Question 6 - 2019 - Paper 2
Question 6
Here is a function machine.
Input
× 5
− 3
Output
a) (i) Find the output when the input is 7.
(ii) Find the input when the output is 42.
b) The input is x and ... show full transcript
Worked Solution & Example Answer:Here is a function machine - OCR - GCSE Maths - Question 6 - 2019 - Paper 2
Step 1
Find the output when the input is 7.
96%
114 rated
Only available for registered users.
Sign up now to view full answer, or log in if you already have an account!
Answer
To find the output when the input is 7, we start by multiplying the input by 5:
7×5=35
Next, we subtract 3 from the result:
35−3=32
Thus, the output is 32.
Step 2
Find the input when the output is 42.
99%
104 rated
Only available for registered users.
Sign up now to view full answer, or log in if you already have an account!
Answer
To find the input when the output is 42, we first need to reverse the operations of the function machine. Start by adding 3 to the output:
42+3=45
Now, we divide the result by 5 to find the input:
545=9
Therefore, the input is 9.
Step 3
Write an equation for y in terms of x.
96%
101 rated
Only available for registered users.
Sign up now to view full answer, or log in if you already have an account!
Answer
Since the input is x and the output is y, we can express the operations in an equation format. Starting with the multiplication:
