Question

The formula for the cost of buying a car is

cost = 12 x monthly payment + deposit
a) Find the cost of a car when the monthly payment is E350 and
the deposit is E2 000.

b) The cost of another car is E8 000.

Find the monthly payment when the deposit is E2 600.

Answer 1

Explanation:

a

cost =12×E350+E2000

=E(4200+2000)

=E6200

b

cost = 12 x monthly payment + deposit

E8000=12×monthly payment+E2600

E8000-E2600=12×monthly payment

E5400=12×monthly payment

E5400/12=monthly payment

E450=monthly payment

Answer 2

a) 6200

b) 450

Explanation:

Since the formula is cost = 12 x monthly payment + deposit, we can just substitute the values in for question a

a) cost = 12 x monthly payment + deposit

cost = 12 × 350 + 2000

cost = 4200 + 2000

cost = 6200

b) cost = 12 x monthly payment + deposit

8000 = 12 × monthly payment + 2600

We need to work out the monthly payment so

8000 = 12 × monthly payment + 2600

→ Minus 2600 from both sides to isolate monthly payment

5400 = 12 × monthly payment

→ Divide both sides by 12 to isolate the monthly payment

450 = monthly payment