Question

(I'll become a fan of you if you help me out) Time Distance
(Hours) (Miles)
4 212
6 318
8 424
10 530

The rate of change is constant in each table. Find the rate of change. Explain what the rate of change means for this situation.

A.) 212; Your car travels 212 miles
B.) 53/1; your car travels 53 miles every 1 hour
C.) 1/53; your car travels 53 miles every 1 hour
D.) 10; Your car travels every one hour.

Answer 1

DO Y2-Y1/X2-X1

Answer 2

I don't think I got it at all..

Answer 3

\(\bf \begin{array}{ccllll}
hours&miles
\\\hline\\
4&212\\
{\color{red}{ 6}}&{\color{blue}{ 318}}\\
8&424\\
{\color{red}{ 10}}&{\color{blue}{ 530}}
\end{array}
\\ \quad \\
\begin{array}{lllll}
&x_1&y_1&x_2&y_2\\
&({\color{red}{ 6}}\quad ,&{\color{blue}{ 318}})\quad &({\color{red}{ 10}}\quad ,&{\color{blue}{ 530}})
\end{array}
\\\quad \\

slope = {\color{green}{ m}}= \cfrac{rise}{run} \implies \cfrac{{\color{blue}{ y_2}}-{\color{blue}{ y_1}}}{{\color{red}{ x_2}}-{\color{red}{ x_1}}}\impliedby\textit{ rate of change}\)

Answer 4

just picking any two pair, since we know the rate is constant, and get their slope as suggested alerady

Answer 5

um... so would it be.. C? I'm not good with these...

Answer 6

dunno.. what did you get for the slope?

Answer 7

Pick any two points. Say, (4,212) and (6,318)
What is \(y_2-y_1\) ?
What is \(x_2 - x_1\) ?