Problema Solution

A car is initially 40 miles south of the border between two states and is traveling south. Distances D between the car and the border are recorded in the table for various elapsed time t. Find a linear function given by D(t)=at+b that ,Odell's these data.

t (hours) 0 1 2 4

D (miles) 40 70 100 160

What is the linear function modeled by the data?

D(t)=

Answer provided by our tutors

D(t) = 30x + 40


'30' is determined as the slope:

(70-40)/(1-0) = 30


'40' is determined by the value when t=0