the amount of money he will have to come up with in order to buy the car is between $21,400 and $30,400
Step-by-step explanation:
The cost for the car is between $27,000 and $36,000.
Let the actual cost of the car = x
This means: 27000≤ x ≤ 36,000
The down payment = $5,600
Let the remaining payment (y) = x - 5600
x = 5600 + y
if we split the range of the cost, we will calculate the remaining amount
27000≤ x
27000 ≤ 5600 + y
27000-5600 ≤ y
21400 ≤ y
x ≤ 36,000
5600 + y ≤ 36,000
y ≤ 36000-5600
y ≤ 30400
Because the price is in the range of 27000 and 36,000, the remaining amount to be paid will also be in a range of values.
21400 ≤ y and y ≤ 30400
Combining both:
21400 ≤ y ≤ 30400
Hence, the amount of money he will have to come up with in order to buy the car is between $21,400 and $30,400