Problema Solution

Heather bought a used car and is using a function to show the estimated values of the car over time. The variable x represents the number of years after the purchase. What is the equation of the function shown in the table? 0 1200

1 1100

2 1000

3 900

4 800

5 700

Answer provided by our tutors

y = 1200 - 100x


since


for x = 0 the value of the car when it is bought is y = $1,200


for x = 1, after 1 year the value of the car is y = 1,200 - 100 = $1,100


for x = 2, after 2 year the value of the car is y = 1,200 - 200 = $1,000


for x = 3, after 3 year the value of the car is y = 1,200 - 300 = $900


for x = 4, after 4 year the value of the car is y = 1,200 - 400 = $800


for x = 5, after 5 year the value of the car is y = 1,200 - 500 = $700