Answer/Step-by-step explanation:
6. To know who cycled faster between Sam and Bobby, find the constant of proportionality of both of them. The person with the least value of constant of proportionality is the fastest.
Constant of proportionality for Sam = [tex] \frac{distance (y)}{time (x)} = \frac{20}{2} = 10 mph [/tex]
Constant of proportionality for Bobby:
Use (0, 0) and (2, 18) to find the constant of proportionality, which is:
[tex] m = \frac{y_2 - y_1}{x_2 - x_1} = \frac{18 - 0}{2 - 0} = \frac{18}{2} = 9 mph [/tex].
Bobby's unit rate/constant of proportionality is smaller than Sam's.
So, Bobby cycled faster.
7. y = 15x is given as representing the amount of Pauli's Pizzeria Pizza.
15 in the equation is the slope/constant of proportionality, which represents the cost of a unit of pizza.
From the graph, the unit rate/constant of proportionality of Leo's Pizzeria Pizza can be calculated as, y/x.
Using (2, 24), we have 24/2 = 12
This means Leo's Pizzeria cost $12 per pizza.
Therefore:
Pauli's Pizzeria takes in $15 per pizza
Leo's Pizzeria takes in $12 per pizza
Pauli's Pizzeria takes in more money per pizza.
