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5 markers cost [tex]$\$ 6.55$[/tex]. Which equation would help determine the cost of 4 markers?

Choose 1 answer:
A. [tex]\frac{4}{5}=\frac{\$ 6.55}{x}[/tex]
B. [tex]\frac{4}{\[tex]$ 6.55}=\frac{x}{5}[/tex]
C. [tex]\frac{5}{4}=\frac{x}{\$[/tex] 6.55}[/tex]
D. [tex]\frac{4}{x}=\frac{\$ 6.55}{5}[/tex]
E. None of the above


Sagot :

To determine the cost of 4 markers given that 5 markers cost \[tex]$6.55, we can set up a proportion. We know that: - The cost for 5 markers is \$[/tex]6.55.

Let's denote the unknown cost for 4 markers as [tex]\( x \)[/tex].

To set up the proper proportion, we need to ensure that the ratio of the number of markers to their cost remains consistent. That is, the ratio of 4 markers to their cost [tex]\( x \)[/tex] should be the same as the ratio of 5 markers to their cost \[tex]$6.55. In proportion form, this can be written as: \[ \frac{4 \text{ markers}}{x \text{ dollars}} = \frac{5 \text{ markers}}{6.55 \text{ dollars}} \] Simplifying to match the provided options: \[ \frac{4}{x} = \frac{6.55}{5} \] This corresponds to option (D): \[ \frac{4}{x} = \frac{\$[/tex]6.55}{5}
\]

Therefore, the correct equation to determine the cost of 4 markers is:

(D) [tex]\(\frac{4}{x} = \frac{\$6.55}{5}\)[/tex]