86.8k views
2 votes
Determine the function that represents the following tables. Time (seconds) 1, 4, 7, 10, 13, the Distance (miles) 5 20 35 50 65.

1 Answer

4 votes

the function is d= f(t)

when t1= 1 , d1= 5

when t2= 4, d2= 20


\text{rate od change = }(d_2-d_1)/(t_2-t_1)
\text{rate of change = }(20-5)/(4-1)=\text{ }(15)/(3)=\text{ 5}
\begin{gathered} ifd_{2\text{ }}=20,d_{3\text{ }}=35,t_{2\text{ }}=4,t_{3\text{ }}=7 \\ \text{rate of change = }(d_3-d_2)/(t_3-t_2)\text{ = }(35-20)/(7-4)=\text{ }(15)/(3)=\text{ 5} \end{gathered}

Thus if d is a function of t

and the rate of change is constant

then d = 5t is the function

User Paul Butcher
by
7.9k points

No related questions found

Welcome to QAmmunity.org, where you can ask questions and receive answers from other members of our community.

9.4m questions

12.2m answers

Categories