Set up a function for the following situation:
The output of a function is 8 less than 3 times a number.
B) Find the input when the output is 13?
Would your equation look like: 8<3=13?
Or am I doing this wrong?
Please help!
output= 3*13-8
output=3*input - 8
output+8=3*input
Input= 1/3(output+8)
So what would the input be?
Is it 1/3?
Or are you telling me to follow those steps.. to find the input. I'm very confused.
To set up a function for this situation, we need to define a variable and create an equation based on the given information.
Let's use the variable "x" to represent the input number. According to the given information, the output of the function is 8 less than 3 times the input number, which can be written as:
Output = 3x - 8
To find the input number when the output is 13, we can set up the equation and solve for x.
13 = 3x - 8
To solve for x, we need to isolate the variable.
Adding 8 to both sides of the equation, we get:
13 + 8 = 3x
Simplifying, we have:
21 = 3x
Finally, dividing both sides by 3, we find:
x = 7
So, when the output is 13, the input number would be 7.
In summary, the function for this situation is:
Output = 3x - 8
To find the input when the output is 13, we set up the equation 13 = 3x - 8 and solve for x.