Answered

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gio paid $30 to have 6 shirts cleaned at the dry cleaners. What is the constant of proportionality that relates the cost in dollars to clean shirts , y , to the number of shirts, x?​

Sagot :

MrRoyal

Answer:

The constant of proportionality is 5

Step-by-step explanation:

Given

[tex]y = \$30[/tex] --- Cost

[tex]x = 6[/tex] --- Number of shirts

Required

Determine the constant of proportionality

The relationship between y and x is:

[tex]y =kx[/tex]

Where:

k = constant of proportionality

Substitute [tex]30\ for\ y[/tex] and [tex]6\ for\ x[/tex]

[tex]30 = k * 6[/tex]

[tex]30 = 6k[/tex]

Divide both sides by 6

[tex]\frac{30}{6} = \frac{6k}{6}[/tex]

[tex]\frac{30}{6} = k[/tex]

[tex]5 = k[/tex]

[tex]k = 5[/tex]

The constant of proportionality is 5

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