The number of students taking sophomore mathematics at Union College has been decreasing at the rate of 20 per year for many years. Assuming this trend continues, write a multiplication problem that describes the change in the number of sophomores taking mathematics at Union for each of the following:

a: The change over the next 5 years
b: The situation 5 years ago
c: The change over the next n years
d: The situation n years ago

clearly, at a change rate of -20 per year,

(a) -20(5) = -100
(b) -20(-5) = +100
(c) -20n
(d) -20(-n) = +20n

for A do -20x5 then for B 20x5 C -20xn then for D 20xn. I think this is correct but not 100% sure so please correct me if I am wrong.

Thank you very much, I appreciate it. You were correct.

what is the comparison ratio in lowest terms of the numbers 168 hours to 10 days

a: The change over the next 5 years can be described as:

Number of students taking sophomore mathematics at Union after 5 years = Initial number of students - (Rate of decrease * Number of years)

Let's assume the initial number of students is X. The rate of decrease is 20 students per year.

So, the multiplication problem can be written as:
X - (20 * 5)

b: The situation 5 years ago can be described as:

Number of students taking sophomore mathematics at Union 5 years ago = Initial number of students - (Rate of decrease * Number of years)

In this case, the number of years is -5 (subtracting 5 years).

So, the multiplication problem can be written as:
X - (20 * -5)

c: The change over the next n years can be described as:

Number of students taking sophomore mathematics at Union after n years = Initial number of students - (Rate of decrease * Number of years)

Here, we are assuming that the number of years is variable and denoting it as 'n'.

So, the multiplication problem can be written as:
X - (20 * n)

d: The situation n years ago can be described as:

Number of students taking sophomore mathematics at Union n years ago = Initial number of students - (Rate of decrease * Number of years)

In this case, the number of years is -n (subtracting n years).

So, the multiplication problem can be written as:
X - (20 * -n)