Answered

Discover a wealth of knowledge at Westonci.ca, where experts provide answers to your most pressing questions. Ask your questions and receive detailed answers from professionals with extensive experience in various fields. Explore comprehensive solutions to your questions from knowledgeable professionals across various fields on our platform.

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

We appreciate your time. Please revisit us for more reliable answers to any questions you may have. We appreciate your visit. Our platform is always here to offer accurate and reliable answers. Return anytime. Westonci.ca is your go-to source for reliable answers. Return soon for more expert insights.