Answer :
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]
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]