Question

I need some help, will medal..

Answer 1

we know that relationship A has a greater rate than B
now... if we could only know what B rate is

bear in mind that slope = rate of change
so, if we could just find the slope of B, then

\(\bf \begin{array}{ccllll}
hours&amount\\
x&y
\\\hline\\
2&25\\
{\color{red}{ 4}}&{\color{blue}{ 50}}\\
5&62.50\\
{\color{red}{ 8}}&{\color{blue}{ 100}}
\end{array}
\\ \quad \\
\begin{array}{lllll}
&x_1&y_1&x_2&y_2\\
&({\color{red}{ 4}}\quad ,&{\color{blue}{ 50}})\quad &({\color{red}{ 8}}\quad ,&{\color{blue}{ 100}})
\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}\)

compare B against the given choices
see which choices have a "greate rate" or slope than B

Answer 2

The answers I got are
A, C, and D.
are those correct?

Answer 3

hmmm what slope did you get anyway?

Answer 4

Hmm wait..
I noticed that when i divide every number together on the table it always equals
12.5

Answer 5

yeap 12.5 is the slope

you don' thave to do all, just a pair

then check which slopes are GREATER than 12.5 :)
13 is
12.75 is

Answer 6

Thank you very much, this helped a lot! I'll write this down in my notes.

Answer 7

yw