Which word phrase can be modeled by the expression? Choose all that apply.
8 - 3n
A- eight decreased by the product 3 and a number
B- the difference of 8 and the quotient of 3 and a number
C- the difference of eight and the product of 3 and a number
D- eight less than 3 times a number
And your answer is?
A and C?
Correct.
To model the expression 8 - 3n, we can break it down step by step:
1. Start with the number 8.
2. Subtract the product of 3 and a number (n).
Now we can analyze each option to determine which one matches the modeled expression:
A- eight decreased by the product 3 and a number:
This option matches our model. It describes starting with eight and decreasing it by the product of 3 and a number.
B- the difference of 8 and the quotient of 3 and a number:
This option does not match our model. It describes the difference between 8 and the quotient of 3 and a number, but our expression subtracts the product of 3 and a number, not the quotient.
C- the difference of eight and the product of 3 and a number:
This option matches our model. It describes the difference between eight and the product of 3 and a number.
D- eight less than 3 times a number:
This option does not match our model. It describes eight being less than 3 times a number, but our expression subtracts the product of 3 and a number, not comparing it.
Therefore, the word phrases that can be modeled by the expression 8 - 3n are:
A- eight decreased by the product 3 and a number
C- the difference of eight and the product of 3 and a number