select the correct answer.\nsarah wants to print copies of her artwork. at the local print shop, it costs…

select the correct answer.\nsarah wants to print copies of her artwork. at the local print shop, it costs her $1 to make 5 copies and $5 to make 25 copies. what is the constant of proportionality in this direct variation?\na. $\frac{1}{5}$\nb. 5\nc. 1\nd. $\frac{1}{25}$

select the correct answer.\nsarah wants to print copies of her artwork. at the local print shop, it costs her $1 to make 5 copies and $5 to make 25 copies. what is the constant of proportionality in this direct variation?\na. $\frac{1}{5}$\nb. 5\nc. 1\nd. $\frac{1}{25}$

Answer

Explanation:

Step1: Define direct variation formula

Direct variation is $y = kx$, where $y$ = cost, $x$ = number of copies, $k$ = constant of proportionality.

Step2: Solve for k using first data set

Use $y=$1$, $x=5$: $$k = \frac{y}{x} = \frac{1}{5}$$

Step3: Verify with second data set

Use $y=$5$, $x=25$: $$k = \frac{5}{25} = \frac{1}{5}$$

Answer:

A. $\frac{1}{5}$