Question

Question:

1. Find the constant of proportionality for Company A and Company B. (to the nearest tenth)
2. Write an equation that represents the relationship between the number of hours h and the total cost for Company A and Company B.
3. Compare the unit rates of Company A and Company B.​

Answer 1

Proportional relationship formula:

• y = kx, where k is the constant of proportionality

Use one of the ordered pairs to calculate the value of k

Company A

Point (2, 20)

• 20 = k*2
• h = 20/2
• k = 10

The equation: y = 10h

Company B

Point (3, 20)

• 20 = k*3
• k = 20/3
• The equation: y = 20/3h

Company A has greater unit rate as 10 > 20/3