Help Please

Write a function rule that represents each sentence.
1. 11 less than the product of a number y and -2 is z.
2. 5 less than the quotient of a number n and 4 is m.

1. -2y - 11 = z

2. n/4 - 5 = m

y is 5 less than the product of 8 and x.

1. The function rule that represents the first sentence can be written as:

z = -2y - 11

Explanation: We are given a number y, and the product of y and -2 is calculated. Then, 11 is subtracted from the result to get z.

2. The function rule that represents the second sentence can be written as:

m = n/4 - 5

Explanation: We are given a number n, and n is divided by 4 to get the quotient. Then, 5 is subtracted from the quotient to get m.

To write a function rule that represents each sentence, we need to identify the key elements in the sentence and create an equation based on them. Let's break down each sentence and convert them into equations:

1. "11 less than the product of a number y and -2 is z."

We can break this down into three parts:
a) Product of a number y and -2: y * -2
b) 11 less than the product: y * -2 - 11
c) The result is z: y * -2 - 11 = z

Therefore, the function rule for sentence 1 is:
z = y * -2 - 11

2. "5 less than the quotient of a number n and 4 is m."

Similar to the first sentence, we can break this down into three parts:
a) Quotient of a number n and 4: n / 4
b) 5 less than the quotient: n / 4 - 5
c) The result is m: n / 4 - 5 = m

Therefore, the function rule for sentence 2 is:
m = n / 4 - 5

By using these function rules, you can now plug in any value for y and n to calculate the corresponding values of z and m, respectively.