Problema Solution

The value y of a 1996 Mustang depends on the the age x. If the Mustang was bought

for $35,000 in 1996, and the value in 1999 was $26,000. Suppose y is a linear function of x,

that is y = mx + b.

Answer provided by our tutors

the Mustang was bought for $35,000 in 1996


in 1996 the mustang was x=0 years old and y = 35000 thus


35000 = m*0 + b


b = 35000


the value in 1999 was $26,000


in 1991 the mustang was x = 1999 - 1996 = 3 years old and y = 26000 thus


26000 = m*3 + 35000


m = (26000 - 35000)/3


m = - 3000


the linear function that is the value is calculated by


y = - 3000x + 35000