Answer:
Maya ---> [tex]6\ minutes/puzzle[/tex]
Amy ----> [tex]7\ minutes/puzzle[/tex]
see the procedure
Step-by-step explanation:
we know that
A relationship between two variables, x, and y, represent a proportional variation if it can be expressed in the form [tex]k=\frac{y}{x}[/tex] or [tex]y=kx[/tex]
Let
m ---> the number of minutes
p ---> the number of puzzles
In this problem, the relationship between the variables m and p represent a proportional variation
so
[tex]m=kp[/tex]
Maya
it takes Maya 30 minutes to solve 5 logic puzzles
we have
m=30, p=5
Determine the value of the constant of proportionality k
[tex]k=\frac{m}{p}[/tex]
substitute the given values
[tex]k=\frac{30}{5}=6\ minutes/puzzle[/tex]
The value of the constant k is the same that the slope or unit rate
The equation is equal to
[tex]m=6p[/tex]
Amy
it takes Maya 28 minutes to solve 4 logic puzzles
we have
m=28, p=4
Determine the value of the constant of proportionality k
[tex]k=\frac{m}{p}[/tex]
substitute the given values
[tex]k=\frac{28}{4}=7\ minutes/puzzle[/tex]
The value of the constant k is the same that the slope or unit rate
The equation is equal to
[tex]m=7p[/tex]
