Question

Write a function rule that represents the sentence: "6.5 more than the quotient of x and 4 is y; x = 7."

a) y = 6.5 + x/4
b) y = 6.5 - x/4
c) y = 6.5 * (x/4)
d) y = 6.5 / (x + 4)

Answer 1

The function rule that represents the sentence "6.5 more than the quotient of x and 4 is y; x = 7" is y = 6.5 + x/4.

Step-by-step explanation:

The function rule that represents the sentence "6.5 more than the quotient of x and 4 is y; x = 7" is:

y = 6.5 + x/4

To understand why this is the correct answer, let's break it down step by step:

1. We start with the quotient of x and 4, which is x/4.
2. We then add 6.5 more to this quotient, which gives us 6.5 + x/4.
3. Finally, we assign this expression to y, resulting in the function rule y = 6.5 + x/4.

So, option a) y = 6.5 + x/4 is the correct function rule that represents the given sentence.