Which graph shows a proportional relationship?

Mathematics

2 answers:

Tasya [4]3 years ago

8 0

Answer: The first one is the proportion

Step-by-step explanation: the reason is because it starts at the orgin.

Verdich [7]3 years ago

6 0

Answer: The only graph that shows a proportional relationship is the line that crosses the origin point (0,0).

Explanation

The other graphs are linear functions but not not proportional relationships.

The general form of a proportional relationship is y = kx, where k is the proportionality constant. So, for x = 0 you will always obtain y = 0.

The general form of a linear relationshio is y = kx + b, being b the y-intercept, so if the y-intercept is not 0, it is not a proportional relationship. That is what happens with the other three graphs.

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aiden currently has a balance of $4443.48 in an account he has held for 17 years he open the account with initial deposit of $25

pickupchik [31]

$\bf \qquad \textit{Simple Interest Earned Amount}\\\\
A=P(1+rt)\qquad 
\begin{cases}
A=\textit{accumulated amount}\to &\$4443.48\\
P=\textit{original amount deposited}\to& \$2567\\
r=rate\to r\%\to \frac{r}{100}\\
t=years\to &17
\end{cases}
\\\\\\
4443.48=2567(1+r17)\implies \cfrac{4443.48}{2567}=1+17r
\\\\\\
\cfrac{4443.48}{2567}-1=17r\implies \cfrac{\frac{4443.48}{2567}-1}{17}=r\implies 0.043\approx r
\\\\\\
0.043\approx\cfrac{r}{100}\implies 0.043\cdot 100\approx r\implies 4.3\%\approx r$