Write a function rule that represents each sentence. 7 less than three fifths of
is
The Correct Answer and Explanation is:
To translate the sentence “7 less than three fifths of a number is ____” into a function rule, let’s break it down:
- Three fifths of a number means multiplying the number by 35\frac{3}{5}53. If we call the unknown number xxx, this part becomes 35x\frac{3}{5}x53x.
- 7 less than this means we subtract 7 from the previous result, so the expression becomes: 35x−7\frac{3}{5}x – 753x−7
- The sentence ends with “is”, which suggests that the expression equals a certain value, say yyy. Thus, the function rule will be: y=35x−7y = \frac{3}{5}x – 7y=53x−7
This equation represents the relationship described in the sentence. The function rule indicates that for any number xxx, you first find three fifths of xxx, then subtract 7 from the result, and that is equal to yyy.
To summarize:
- “Three fifths of a number” is 35x\frac{3}{5}x53x,
- “7 less than” means to subtract 7,
- The function rule is y=35x−7y = \frac{3}{5}x – 7y=53x−7.
