Question

mathematical modeling
part 1 of 2 1 2 trying to earn:
question 1: the town has 580 people.
a) 115 people move away. choose the calculation for the number of people n remaining.
n people = 580 people - 115 people

b) p people move away. choose the mathematical model for the number of people n remaining.
n people = 580 people - p people

c) p people move away. write the mathematical model for the number of people n remaining, leaving out the units.
n = 580 - p

question 2: spencer rented 700 apartments.
a) choose the calculation for the rate a at which spencer rents apartments per year if it took him 12 years to rent them.
select one

b) choose the mathematical model for the rate a at which spencer rents apartments per year if it took him y years to rent them.
select one

c) write the mathematical model for the rate a at which spencer rents apartments per year if it took him y years to rent them, leaving out the units.
(you can use \*\ for multiplication and \/\ for division.)

Explanation:

Step1: Find rental rate (Question2a)

Rate = total apartments ÷ years.
$A = \frac{700}{12}$

Step2: Generalize model (Question2b)

Replace 12 with variable Y.
$A = \frac{700}{Y}$

Step3: Simplify model (Question2c)

Omit units, use "/" for division.
$A = 700/Y$

Answer:

Question 2a: $A = \frac{700}{12}$
Question 2b: $A = \frac{700}{Y}$
Question 2c: $A = 700/Y$

*(Note: The completed answers for Question 1 are already correctly provided in the image:
1a) $N = 580 - 115$
1b) $N = 580 - P$
1c) $N = 580-P$)*