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kernhigh.org bookmarks
https://connect.kern.
Foundations 2 Spring 2024 Interim Assessment #1
#1 of 15 *
stanza, Carmen
This table shows a proportional relationship between 
x and 
y.





x

y


1
9


2
18


3
27




Find the constant of proportionality ( 
r ). Using the value for 
r, select the correct equation in the form of 
y=x.
A 
y=9x
(B) 
y=x+9
C. 
y=x+2
(D) 
y=2x

kernhigh.org bookmarks\newlinehttps://connect.kern.\newlineFoundations 22 Spring 20242024 Interim Assessment \#11\newline\#11 of 1515 *\newlinestanza, Carmen\newlineThis table shows a proportional relationship between x x and y y .\newline\begin{tabular}{|c|c|}\newline\hline x \boldsymbol{x} & y \boldsymbol{y} \\\newline\hline 11 & 99 \\\newline\hline 22 & 1818 \\\newline\hline 33 & 2727 \\\newline\hline\newline\end{tabular}\newlineFind the constant of proportionality ( r r ). Using the value for r r , select the correct equation in the form of y=x y=x .\newlineA y=9x y=9 x \newline(B) y=x+9 y=x+9 \newlineC. y=x+2 y=x+2 \newline(D) y y 00

Full solution

Q. kernhigh.org bookmarks\newlinehttps://connect.kern.\newlineFoundations 22 Spring 20242024 Interim Assessment \#11\newline\#11 of 1515 *\newlinestanza, Carmen\newlineThis table shows a proportional relationship between x x and y y .\newline\begin{tabular}{|c|c|}\newline\hline x \boldsymbol{x} & y \boldsymbol{y} \\\newline\hline 11 & 99 \\\newline\hline 22 & 1818 \\\newline\hline 33 & 2727 \\\newline\hline\newline\end{tabular}\newlineFind the constant of proportionality ( r r ). Using the value for r r , select the correct equation in the form of y=x y=x .\newlineA y=9x y=9 x \newline(B) y=x+9 y=x+9 \newlineC. y=x+2 y=x+2 \newline(D) y y 00
  1. Look at the table: Look at the table, for x=1x=1, y=9y=9. The constant of proportionality rr is yy divided by xx.r=yx=91=9r = \frac{y}{x} = \frac{9}{1} = 9.
  2. Check values consistency: Check other values to confirm if rr is consistent. For x=2x=2, y=18y=18.\newliner=yx=182=9r = \frac{y}{x} = \frac{18}{2} = 9. It's the same, so rr is consistent.
  3. Determine the equation: Now we know r=9r=9, the equation is y=rxy=rx. So, the equation is y=9xy=9x.

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