Question

question 1: the parking lot holds 176 cars.
a) 26 cars leave the lot. choose the calculation for the number of cars n remaining.
n cars = 176 cars - 26 cars

b) c cars leave the lot. choose the mathematical model for the number of cars n remaining.
n cars = 176 cars - c cars

c) c cars leave the lot. write the mathematical model for the number of cars n remaining, leaving out the units.
n = 176 - c

question 2: li graded 100 papers.
a) choose the calculation for the rate p at which li grades papers per hour if it took him 5 hours to grade them.
select one

b) choose the mathematical model for the rate p at which li grades papers per hour if it took him h hours to grade them.
select one

c) write the mathematical model for the rate p at which li grades papers per hour if it took him h hours to grade them, leaving out the units.
(you can use \*\ for multiplication and \/\ for division.)

Explanation:

Question 1

Step1: Calculate remaining cars (fixed number)

Remaining cars = Total cars - Cars that leave
$N = 176 - 26$

Step2: Model remaining cars (variable number)

Use variable $C$ for cars that leave
$N = 176 - C$

Step3: Remove units from the model

Omit "cars" from the equation
$N = 176 - C$

Question 2

Step1: Calculate grading rate (fixed time)

Rate = Total papers ÷ Time taken
$P = \frac{100}{5}$

Step2: Model grading rate (variable time)

Use variable $H$ for time taken
$P = \frac{100}{H}$

Step3: Write model without units

Use "/" for division as specified
$P = 100 / H$

Answer:

Question 1:
a) $N = 176 - 26$
b) $N = 176 - C$
c) $N = 176 - C$

Question 2:
a) $P = \frac{100}{5}$
b) $P = \frac{100}{H}$
c) $P = 100 / H$